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Telyakovskii Sergei Aleksandrovich
(full list of publications)
| by years | scientific publications | by types |


Articles


   2016
1. S. A. Telyakovskii, “On the Rate of Convergence in $L$ of Fourier Sine Series with Monotone Coefficients”, Math. Notes, 100:3 (2016), 472–476  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
2. Yu. N. Subbotin, S. A. Telyakovskii, “Uniform approximation of curvature of smooth planar curves”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 254–256  mathnet  crossref  mathscinet  elib

   2015
3. Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Math. Notes, 97:4 (2015), 598–604  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
4. S. A. Telyakovskii, “On the Coefficients of Fourier Series Convergent in $L$”, Math. Notes, 98:1 (2015), 189–191  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
5. Yu. V. Malykhin, S. A. Telyakovskii, N. N. Kholshchevnikova, “Integrability of the Sum of Absolute Values of Blocks of the Fourier–Walsh Series for Functions of Bounded Variation”, Proc. Steklov Inst. Math., 290 (2015), 306–317  mathnet  crossref  crossref  isi  elib  elib  scopus
6. S. A. Telyakovskii, “Dobavlenie k rabote V. P. Zastavnogo “Otsenki summ iz modulei blokov trigonometricheskikh ryadov Fure””, Tr. IMM UrO RAN, 21, no. 4, 2015, 277–281  mathnet (cited: 1)  elib; S. A. Telyakovskii, “An addition to V.P. Zastavnyi's paper “Estimates for sums of moduli of blocks in trigonometric Fourier series””, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 186–190  crossref  isi  scopus

   2014
7. S. A. Telyakovskii, “On the Series of Absolute Values of Blocks of Trigonometric Series”, Proc. Steklov Inst. Math., 284 (2014), 235–243  mathnet  crossref  crossref  isi  elib  elib  scopus

   2013
8. A. Yu. Popov, S. A. Telyakovskii, “Estimate for the integral of the absolute value of a sine series with monotone coefficients”, Proc. Steklov Inst. Math., 280 (2013), 263–267  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
9. S. A. Telyakovskii, Lectures on mathematical analysis. Semester III, Lekts. Kursy NOC, 20, Steklov Math. Inst., RAS, Moscow, 2013 , 242 pp.  mathnet  mathnet  mathnet  crossref  zmath  elib
10. S. A. Telyakovskii, “On Properties of the Moduli of Blocks of the Terms of the Series $\sum \frac{1}{k} \sin kx$”, Izv. Saratov. Univ. Mat. Mekh. Inform., 13:1(2) (2013), 92–95  mathnet
11. S. A. Telyakovskii, “Boundedness of the Series of Absolute Values of Blocks of Sine Series”, Proc. Steklov Inst. Math., 283 (2013), 245–249  mathnet  crossref  crossref  isi  elib
12. S. A. Telyakovskii, “Ryady iz modulei blokov chlenov trigonometricheskogo ryada (obzor)”, Fundament. i prikl. matem., 18:5 (2013), 209–216  mathnet  mathscinet  elib; S. A. Telyakovskii, “Series formed by the moduli of blocks of terms of trigonometric series. A survey”, J. Math. Sci., 209:1 (2015), 152–158  crossref  mathscinet  elib  scopus
13. S. A. Telyakovskii, “On the Gauss test for convergence of series”, Mathematics in Higher Education, 2013, no. 11, 43–44  mathnet

   2012
14. Yu. N. Subbotin, S. A. Telyakovskii, “On the relative widths of ellipsoids in Hilbert space”, Math. Notes, 91:3 (2012), 449–452  mathnet  crossref  crossref  isi  elib  elib  scopus
15. S. A. Telyakovskii, “On the properties of blocks of terms of the series $\sum\frac1k\sin kx$”, Ukr. Math. J., 64:5 (2012), 816–822  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 1)

   2011
16. S. A. Telyakovskii, “Estimate of the Simultaneous Approximation of Functions and Their Derivatives by Fourier Sums”, Math. Notes, 90:3 (2011), 464–466  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
17. Yu. N. Subbotin, S. A. Telyakovskii, “On relative widths of classes of differentiable functions. III”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 300–302  mathnet  mathscinet  elib
18. V. V. Arestov, V. I. Berdyshev, N. I. Chernykh, T. V. Demina, N. N. Kholschevnikova, S. V. Konyagin, Yu. N. Subbotin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Yudin, “Exposition of the lectures by S. B. Stechkin on approximation theory”, Eurasian Math. J., 2:4 (2011), 5–155  mathnet (cited: 1)  mathscinet  zmath

   2010
19. S. A. Telyakovskii, “The nature of convergence of the Fourier series for functions of bounded variation”, Russian Math. (Iz. VUZ), 54:3 (2010), 42–44  mathnet  crossref  mathscinet  elib  elib  scopus
20. S. A. Telyakovskii, “O skorosti priblizheniya funktsii v lipshitsevykh normakh”, Tr. IMM UrO RAN, 16, no. 4, 2010, 297–299  mathnet  elib; S. A. Telyakovskii, “On the rate of approximation of functions in Lipschitz norms”, Proc. Inst. Math. Mech., 273, suppl. 1 (2011), S160–S162  crossref  isi  scopus
21. Yu. N. Subbotin, S. A. Telyakovskii, “Sharpening of the estimates for relative widths of classes of differentiable functions”, Proc. Steklov Inst. Math., 269 (2010), 235–246  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2009
22. Yu. N. Subbotin, S. A. Telyakovskii, “On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions”, Math. Notes, 86:3 (2009), 432–439  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
23. S. A. Telyakovskii, “Approximation by Bernstein Polynomials at the Points of Discontinuity of the Derivatives”, Math. Notes, 85:4 (2009), 590–596  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus

   2008
24. S. A. Telyakovskii, “O skorosti priblizheniya funktsii mnogochlenami Bernshteina”, Tr. IMM UrO RAN, 14, no. 3, 2008, 162–169  mathnet (cited: 6)  elib (cited: 3); S. A. Telyakovskii, “On the rate of approximation of functions by the Bernstein polynomials”, Proc. Inst. Math. Mech., 264, suppl. 1 (2009), 177–184  crossref  isi (cited: 5)  scopus (cited: 5)
25. S. A. Telyakovskii, “On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials”, Proc. Steklov Inst. Math., 260 (2008), 279–286  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 1)

   2007
26. A. S. Belov, S. A. Telyakovskii, “Usilenie teoremy Dirikhle–Zhordana o ryadakh Fure funktsii ogranichennoi variatsii”, Dokl. RAN, 412:5 (2007), 583–584  mathnet (cited: 1)  mathscinet  elib (cited: 1)
27. A. S. Belov, S. A. Telyakovskii, “Refinement of the Dirichlet–Jordan and Young's theorems on Fourier series of functions of bounded variation”, Sb. Math., 198:6 (2007), 777–791  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)

   2005
28. O. V. Besov, V. A. Sadovnichii, S. A. Telyakovskii, “On the scientific work of S. M. Nikol'skii”, Russian Math. Surveys, 60:6 (2005), 1005–1020  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
29. S. A. Telyakovskii, “Some properties of Fourier series of functions with bounded variation. II”, Proc. Inst. Math. Mech., 2005no. , suppl. 2, S188–S195  mathnet  mathscinet  zmath  elib
30. Yu. N. Subbotin, S. A. Telyakovskii, “On Relative Widths of Classes of Differentiable Functions”, Proc. Steklov Inst. Math., 248 (2005), 243–254  mathnet  mathscinet  zmath

   2004
31. S. A. Telyakovskii, “Some properties of Fourier series of functions with bounded variation”, East J. Approx., 10:1-2 (2004), 215–218  mathscinet (cited: 9)  zmath

   2003
32. Yu. N. Subbotin, S. A. Telyakovskii, “Norms on $L$ of Periodic Interpolation Splines with Equidistant Nodes”, Math. Notes, 74:1 (2003), 100–109  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
33. Yu. N. Subbotin, S. A. Telyakovskii, “Approximation of Derivatives by the Derivatives of Interpolating Splines”, Proc. Steklov Inst. Math., 243 (2003), 309–322  mathnet  mathscinet  zmath
34. S. A. Telyakovskii, “O rabotakh A. V. Efimova po teorii pribizheniya funktsii”, Priblizhenie funktsii. Teoreticheskie i prikladnye aspekty, posvyaschaetsya pamyati professora A. V. Efimova, MIET, M., 2003, 9–16
35. S. A. Telyakovskii, “K voprosu o skhodimosti v metrike $L$ ryadov Fure s redko menyayuschimisya koeffitsientami”, Priblizhenie funktsii. Teoreticheskie i prikladnye aspekty, posvyaschaetsya pamyati professora A. V. Efimova, MIET, M., 2003, 240–243

   2002
36. S. A. Telyakovskiĭ, “On Fourier series of functions of bounded variation”, Ukrainian Mathematics Congress—2001, Natsīonal. Akad. Nauk Ukraïni Īnst. Mat., Kiev, 2002, 227–230  mathscinet
37. S. A. Telyakovskii, “On the Rate of Convergence of Fourier Series of Functions of Bounded Variation”, Math. Notes, 72:6 (2002), 872–876  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
38. S. A. Telyakovskii, “Estimates of the integral modulus of continuity of functions with rarely changing Fourier coefficients”, Sb. Math., 193:9 (2002), 1333–1347  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   2001
39. S. A. Telyakovskii, “Uniform Convergence of Trigonometric Series with Rarely Changing Coefficients”, Math. Notes, 70:4 (2001), 553–559  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 5)  scopus (cited: 6)
40. Yu. N. Subbotin, S. A. Telyakovskii, “Relative widths of classes of differentiable functions in the $L^2$ metric”, Russian Math. Surveys, 56:4 (2001), 767–769  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
41. Yu. N. Subbotin, S. A. Telyakovskii, “Splines and relative widths of classes of differentiable functions”, Proc. Inst. Math. Mech., 2001no. , suppl. 1, S225–S234  mathnet  mathscinet  zmath  elib
42. S. A. Telyakovskii, “On the Uniform Convergence of the Fourier Series of Functions of Bounded Variation”, Proc. Steklov Inst. Math., 232 (2001), 310–318  mathnet  mathscinet  zmath
43. S. A. Telyakovskii, “S. M. Nikol'skii's Works on the Theory of Approximation of Functions”, Proc. Steklov Inst. Math., 232 (2001), 13–18  mathnet  mathscinet  zmath

   2000
44. S. A. Telyakovskiĭ, “On the behavior of sine series near zero”, Makedon. Akad. Nauk. Umet. Oddel. Mat.-Tehn. Nauk. Prilozi, 21:1-2 (2000), 47–54 (2002)  mathscinet
45. Moscow Univ. Math. Bull., 55:4 (2000), 39–40  mathscinet  zmath  isi  scopus
46. A. Yu. Popov, S. A. Telyakovskii, “On estimates for partial sums of Fourier series of functions of bounded variation”, Russian Math. (Iz. VUZ), 44:1 (2000), 50–54  mathnet  mathscinet  zmath  elib
47. S. A. Telyakovskii, “On series with monotone terms”, Russian Math. Surveys, 55:2 (2000), 361–362  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
48. Yu. N. Subbotin, S. A. Telyakovskii, “Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes”, Sb. Math., 191:8 (2000), 1233–1242  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 6)

   1999
49. S. A. Telyakovskii, “Printsip lokalizatsii Rimana, otsenka skorosti skhodimosti”, Metricheskaya teoriya funktsii i smezhnye voprosy analiza, eds. S. M. Nikolskii, Izd-vo AFTs, M., 1999, 239–244  mathnet  mathscinet  mathscinet; С. А. Теляковский, “Принцип локализации Римана, оценка скорости сходимости”, Теория функций, СМФН, 25, РУДН, М., 2007, 178–181  mathnet  crossref  mathscinet  scopus; S. A. Telyakovskii, “Riemann's Localization Theorem. An Estimate for the Rate of Convergence”, Journal of Mathematical Sciences, 155:1 (2008), 183–187  crossref  mathscinet  elib  scopus
50. Wang Kunyang, S. A. Telyakovskiĭ, “Differential properties of sums of a class of trigonometric series”, Moscow Univ. Math. Bull., 54:1 (1999), 26–30  mathscinet  zmath  isi
51. Yu. N. Subbotin, S. A. Telyakovskii, “Exact values of relative widths of classes of differentiable functions”, Math. Notes, 65:6 (1999), 731–738  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 5)  scopus (cited: 5)
52. S. A. Telyakovskii, “Certain Special Multiple Sine Series”, Proc. Steklov Inst. Math., 227 (1999), 293–304  mathnet  mathscinet  zmath
53. N. N. Andreev,S. A. Telyakovskii, V. A. Yudin, “Approximation of individual functions — from Chebyshev to our days”, Russian science: the present day and the coming day, Academia, Moscow, 1999, 12–20

   1998
54. V. I. Berdyshev, V. F. Kolchin. B. S. Stechkin, Yu. N. Subbotin, S. A. Telyakovskii, N. I. Chernykh, “Sergei Borisovich Stechkin. Shtrikhi k portretu”, v kn.: S. B. Stechkin, Izbrannye trudy, matematika, Nauka, M., 1998, 5–14
55. S. A. Telyakovskii, V. M. Tikhomirov, “Kommentarii k razdelu I (teoriya priblizheniya funktsii)”, v kn.: S. B. Stechkin, Izbrannye trudy, matematika, Nauka, M., 1998, 364–366
56. S. A. Telyakovskii, N. I. Chernykh, “Kommentarii k razdelu II (trigonometricheskie i ortogonalnye ryady)”, v kn.: S. B. Stechkin, Izbrannye trudy, matematika, Nauka, M., 1998, 366–368

   1997
57. S. A. Telyakovskij, “On the behavior of sine series with convex coefficients near the origin”, Dokl. Math., 56:3 (1997), 913–914  mathnet  mathscinet  zmath  isi  scopus
58. S. A. Telyakovskii, “On the works of S. B. Stechkin on approximation of periodic functions by polynomials”, Fundam. Prikl. Mat., 3:4 (1997), 1059–1068  mathnet  mathscinet  zmath
59. S. A. Telyakovskii, V. N. Temlyakov, “Convergence of multiple Fourier series for functions of bounded variation”, Math. Notes, 61:4 (1997), 484–494  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
60. S. A. Telyakovskii, “On Partial Sums of Fourier Series of Functions of Bounded Variation”, Proc. Steklov Inst. Math., 219 (1997), 372–381  mathnet  mathscinet  zmath

   1995
61. S. A. Telyakovskiĭ, “On the behavior near the origin of sine series with convex coefficients”, Publ. Inst. Math. (Beograd) (N.S.), 58(72), Slobodan Aljančić memorial volume (1995), 43–50  mathscinet (cited: 2)  zmath
62. S. A. Telyakovskii, “Estimating the integral of the derivative of the sum of a trigonometric series with quasi-convex coefficients”, Sb. Math., 186:11 (1995), 1659–1669  mathnet  crossref  mathscinet  zmath  isi
63. S. A. Telyakovskii, “Localizing the conditions of integrability of trigonometric series”, Proc. Steklov Inst. Math., 210 (1995), 197–204  mathnet  mathscinet  zmath

   1994
64. S. A. Telyakovskii, “Otsenki modulya nepreryvnosti v metrike $L$ funktsii odnoi peremennoi cherez koeffitsienty Fure”, Ukr. matem. zhurn., 46 (1994), 626–632  mathscinet (cited: 4)  zmath; S. A. Telyakovskii, “Estimation of the moduli of continuity of one-variable functions in the metric of $L$ in terms of Fourier coefficients”, Ukrainian Math. J., 46:5 (1995), 671–678  crossref  mathscinet  zmath
65. S. A. Telyakovskii, “Vesovye integralnye otsenki dlya lakunarnykh trigonometricheskikh ryadov”, Izbrannye voprosy matematicheskoi fiziki i analiza, Sbornik statei. K semidesyatiletiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 203, Nauka, M., 1994, 173–183  mathnet  mathscinet  zmath; S. A. Telyakovskii, “Weighted integral estimates for lacunary trigonometric series”, Proc. Steklov Inst. Math., 203 (1995), 157–166  mathscinet  zmath

   1993
66. S. A. Telyakovskii, “The integral modulus of continuity of the Dirichlet kernel and the conjugate Dirichlet kernel”, Math. Notes, 54:3 (1993), 940–945  mathnet  crossref  mathscinet  zmath  isi  scopus

   1992
67. S. A. Telyakovskii, “Nekotorye svoistva ryadov po sinusam s monotonnymi koeffitsientami”, Anal. Math., 18:4 (1992), 307–323  crossref  mathscinet (cited: 1)  zmath  scopus (cited: 3)
68. S. A. Telyakovskii, “Lower bounds of the integral modulus of continuity of a function in terms of its Fourier coefficients”, Math. Notes, 52:5 (1992), 1149–1153  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
69. S. A. Telyakovskii, “O priblizhenii summami Fure differentsiruemykh funktsii vysokoi gladkosti”, Trudy Vsesoyuznoi shkoly po teorii funktsii (Miass, iyul 1989 g.), Tr. MIAN, 198, Nauka, M., 1992, 193–211  mathnet  mathscinet  zmath; S. A. Telyakovskii, “On approximation by Fourier sums of differentiable functions of high smoothness”, Proc. Steklov Inst. Math., 198 (1994), 183–201  mathscinet  zmath

   1991
70. S. A. Telyakovskii, “O skhodimosti v metrike $L$ trigonometricheskikh ryadov s redko menyayuschimisya koeffitsientami”, Teoriya chisel, algebra, matematicheskii analiz i ikh prilozheniya, Sb. st. Posvyaschaetsya 100-letiyu so dnya rozhdeniya Ivana Matveevicha Vinogradova, Tr. MIAN, 200, Nauka, M., 1991, 322–326  mathnet (cited: 3)  mathscinet (cited: 8)  zmath; S. A. Telyakovskii, “On the convergence in $L$-metric of the trigonometric series with scarcely varying coefficients”, Proc. Steklov Inst. Math., 200 (1993), 353–358  mathscinet  zmath

   1989
71. S. A. Telyakovskiĭ, “Uniform boundedness of trigonometric polynomials in several variables of a special type”, Translated from the Russian by Jerzy Trzeciak, Approximation and function spaces (Warsaw, 1986), Banach Center Publ., 22, PWN, Warsaw, 1989, 465–470  mathscinet
72. Ukrainian Math. J., 41:4 (1989), 444–451  crossref  mathscinet  zmath  scopus (cited: 1)
73. S. A. Telyakovskii, “Integrability of the monotone majorant of the sum of a trigonometric series with quasiconvex coefficients”, Math. Notes, 46:2 (1989), 658–663  mathnet  crossref  mathscinet  zmath  isi  scopus

   1988
74. S. A. Telyakovskii, “O rabotakh po teorii priblizheniya funktsii, vypolnennykh v MIANe”, Teoriya veroyatnostei, teoriya funktsii, mekhanika, Sbornik obzornykh statei 5. K 50-letiyu Instituta, Tr. MIAN SSSR, 182, Nauka, M., 1988, 128–179  mathnet (cited: 5)  mathscinet (cited: 5)  zmath; S. A. Telyakovskii, “Work on the theory of approximation of functions carried out at the V.  A. Steklov Institute of Mathematics”, Proc. Steklov Inst. Math., 182 (1990), 141–197  mathscinet  zmath

   1987
75. S. A. Telyakovskii, “O priblizhenii funktsii zadannykh klassov summami Fure”, Teoriya funktsii i approksimatsii (Saratov, 1986), Ch. 1, Saratov. Gos. Univ., Saratov, 1987, 67–75  mathscinet  zmath
76. S. A. Telyakovskii, “Uniform boundedness of some trigonometric polynomials of many variables”, Math. Notes, 42:1 (1987), 529–533  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   1985
77. S. A. Telyakovskii, V. M. Tikhomirov, “Teoriya priblizhenii”, Kommentarii v kn.: A. N. Kolmogorov, Matematika i mekhanika. Izbr. trudy, Nauka, M., 1985, 382–386

   1984
78. S. A. Telyakovskii, “Ob integriruemosti ryadov po sinusam”, Mezhdunarodnaya konferentsiya po analiticheskim metodam v teorii chisel i analize (Moskva, 14–19 sentyabrya 1981 g.), Tr. MIAN SSSR, 163, 1984, 229–233  mathnet  mathscinet (cited: 1)  zmath; S. A. Telyakovskii, “Integrability of sine series”, Proc. Steklov Inst. Math., 163 (1985), 269–273  mathscinet  zmath

   1983
79. S. A. Telyakovskii, “Teoriya priblizheniya funktsii mnogochlenami”, Ocherki razvitiya matematiki v SSSR, Naukova dumka, Kiev, 1983, 237–251  mathscinet
80. S. A. Telyakovskii, “O priblizhenii differentsiruemykh funktsii srednimi Chezaro vtorogo poryadka”, Konstruktivnaya teoriya funktsii 1981 (Varna, 1981), Publ. House Bulgar. Acad. Sci., Sofia, 1983, 168–170  mathscinet
81. S. A. Telyakovskii, “Ob usloviyakh integriruemosti kratnykh trigonometricheskikh ryadov”, Ortogonalnye ryady i priblizhenie funktsii, Sbornik statei. Posvyaschaetsya 100-letiyu so dnya rozhdeniya akademika H. N. Luzina, Tr. MIAN SSSR, 164, 1983, 180–188  mathnet (cited: 3)  mathscinet (cited: 3)  zmath; S. A. Telyakovskii, “Conditions for integrability of multiple trigonometric series”, Proc. Steklov Inst. Math., 164 (1985), 205–215  mathscinet  zmath

   1982
82. S. A. Telyakovskii, “O priblizhenii funktsii srednimi Chezaro vtorogo poryadka”, Anal. Math., 8:4 (1982), 305–319  crossref  mathscinet (cited: 1)  zmath  scopus (cited: 2)
83. V. A. Baskakov, S. A. Telyakovskii, “Approximation of differentiable functions by Fejér sums”, Math. Notes, 32:2 (1982), 545–550  mathnet  crossref  mathscinet  zmath  isi  scopus

   1981
84. S. A. Telyakovskii, “O priblizhenii funktsii klassa $\overline W^1$ srednimi Chezaro”, Teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego k ego devyanostoletiyu, Tr. MIAN SSSR, 157, 1981, 191–197  mathnet  mathscinet  zmath; S. A. Telyakovskii, “Approximation of functions of class $\overline W^1$ by Cesàro means”, Proc. Steklov Inst. Math., 157 (1983), 205–211  mathscinet  zmath

   1979
85. S. A. Teljakovskiĭ, “On integrability of lacunary trigonometric series with weight”, Acta Math. Acad. Sci. Hungar., 33:1-2 (1979), 217–222  crossref  mathscinet  zmath  isi  scopus (cited: 1)

   1978
86. L. A. Balasov, S. A. Telyakovskii, “Integrability of trigonometric series such that the sequence of second differences of the coefficients is lacunary”, Siberian Math. J., 19:5 (1978), 694–697  crossref  mathscinet  zmath  isi  scopus

   1977
87. L. A. Balashov, S. A. Telyakovskii, “Nekotorye svoistva lakunarnykh ryadov i integriruemost trigonometricheskikh ryadov”, Analiticheskaya teoriya chisel, matematicheskii analiz i ikh prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Ivanu Matveevichu Vinogradovu k ego vosmidesyatipyatiletiyu, Tr. MIAN SSSR, 143, 1977, 32–41  mathnet (cited: 2)  mathscinet (cited: 2)  zmath; L. A. Balashov, S. A. Telyakovskii, “Some properties of lacunary series and the integrability of trigonometric series”, Proc. Steklov Inst. Math., 143 (1980), 33–43  mathscinet  zmath

   1975
88. S. A. Telyakovskii, G. A. Fomin, “O skhodimosti v metrike $L$ ryadov Fure s kvazimonotonnymi koeffitsientami”, Teoriya funktsii i ee prilozheniya, Sbornik statei. Posvyaschaetsya akademiku Sergeyu Mikhailovichu Nikolskomu k ego semidesyatiletiyu, Tr. MIAN SSSR, 134, 1975, 310–313  mathnet (cited: 7)  mathscinet (cited: 12)  zmath; S. A. Telyakovskii, G. A. Fomin, “Convergence in the $L$ metric of Fourier series with quasimonotone coefficients”, Proc. Steklov Inst. Math., 134 (1977), 351–355  mathscinet  zmath

   1973
89. S. A. Telyakovskii, “Concerning a sufficient condition of Sidon for the integrability of trigonometric series”, Math. Notes, 14:3 (1973), 742–748  mathnet  crossref  mathscinet  zmath  scopus (cited: 24)
90. S. A. Telyakovskii, “Integrability of trigonometric series. The estimation of the integral modulus of continuity”, Math. USSR-Sb., 20:4 (1973), 557–573  mathnet  crossref  mathscinet  zmath

   1972
91. S. A. Telyakovskii, “Integriruemost mazhoranty chastnykh summ trigonometricheskogo ryada s kvazivypuklymi koeffitsientami”, Proceedings of the Conference on the Constructive Theory of Functions (Approximation Theory) (Budapest, 1969), Akadémiai Kiadó, Budapest, 1972, 477–502  mathscinet

   1971
92. S. A. Telyakovskii, “An estimate of the norm of a function by its Fourier coefficients that is suitable in problems of approximation theory”, Proc. Steklov Inst. Math., 109 (1971), 73–109  mathnet  mathscinet  zmath
93. K. I. Oskolkov, S. A. Teljakovskiĭ, “On the estimates of P. L. Ul'janov for integral moduli of continuity”, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 6:5 (1971), 406–411  mathscinet
94. S. A. Telyakovskii, “Uniform-convergence factors for Fourier series of functions with a given modulus of continuity”, Math. Notes, 10:1 (1971), 444–448  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

   1970
95. S. A. Teljakovskiĭ, “An estimate of the integral modulus of continuity of functions with quasiconvex Fourier coefficients”, Sibirsk. Mat. Z̆., 11:5 (1970), 1140–1145  mathscinet
96. S. A. Telyakovskii, “Integriruemost mazhoranty chastnykh summ trigonometricheskogo ryada s kvazivypuklymi koeffitsientami”, Dokl. AN SSSR, 192 (1970), 514–515  mathscinet
97. S. A. Telyakovskii, “Quasiconvex uniform-convergence factors for Fourier series of functions with a given modulus of continuity”, Math. Notes, 8:5 (1970), 817–819  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)

   1969
98. S. A. Telyakovskii, “A problem suggested by R. Boas”, Math. Notes, 5:4 (1969), 263–264  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
99. S. A. Teljakovskiĭ, “The approximation by Fejér sums of functions which satisfy a Lipschitz condition”, Ukrain. Mat. Z̆., 21:3 (1969), 334–343  mathscinet  zmath

   1968
100. S. A. Telyakovskii, “Approximation of differentiable functions by partial sums of their Fourier series”, Math. Notes, 4:3 (1968), 668–673  mathnet  crossref  mathscinet  zmath  scopus (cited: 3)

   1967
101. S. B. Stechkin, S. A. Telyakovskii, “The approximation of differentiable functions by trigonometric polynomials in the $L$ metric”, Proc. Steklov Inst. Math., 88 (1967), 19–29  mathnet  mathscinet  zmath
102. S. A. Teljakovskiĭ, “An asymptotic estimate of the integral of the absolute value of a function given by a sine series”, Sibirsk. Mat. Ž., 8:6 (1967), 1416–1422  mathscinet
103. S. A. Telyakovskii, “On the question of the convergence of Fourier series in the metric $L$”, Math. Notes, 1:1 (1967), 59–63  mathnet  crossref  mathscinet  zmath  scopus

   1966
104. S. A. Telyakovskii, “Two theorems on approximation of functions by algebraic polynomials”, Mat. Sb. (N.S.), 70(112):2 (1966), 252–265  mathnet  mathscinet  zmath

   1965
105. S. A. Telyakovskii, “On norms of linear polynomial operators”, Mat. Sb. (N.S.), 68(110):4 (1965), 561–569  mathnet  mathscinet  zmath

   1964
106. S. A. Telyakovskii, “Ob odnom voprose P. Erdesha”, Ann. Polon. Math., 15 (1964), 303–304  mathscinet
107. S. A. Telyakovskii, “Integrability conditions for trigonometrical series and their application to the study of linear summation methods of Fourier series”, Izv. Akad. Nauk SSSR Ser. Mat., 28:6 (1964), 1209–1236  mathnet  mathscinet  zmath
108. S. A. Telyakovskii, “Some bounds for trigonometric series with quasi-convex coefficients”, Mat. Sb. (N.S.), 63(105):3 (1964), 426–444  mathnet  mathscinet  zmath

   1963
109. S. A. Teljakovskiĭ, “Bounds for the derivatives of trigonometric polynomials of several variables”, Sibirsk. Mat. Ž., 4:6 (1963), 1404–1411  mathscinet  zmath
110. S. A. Telyakovskii, “Norms of trigonometric polynomials and approximation of differentiable functions by linear averages of their Fourier series. II”, Izv. Akad. Nauk SSSR Ser. Mat., 27:2 (1963), 253–272  mathnet  mathscinet  zmath

   1961
111. S. A. Telyakovskii, “Norms of trigonometrical polynomials and approximation of differentiable functions by averages of their Fourier series. I”, Collection of articles on linear methods of summation of Fourier series, Trudy Mat. Inst. Steklov., 62, Acad. Sci. USSR, Moscow, 1961, 61–97  mathnet  mathscinet  zmath

   1960
112. S. A. Teljakovskii, “Approximation to functions differentiable in Weyl's sense by de la Vallée-Poussin sums”, Soviet Math. Dokl., 1 (1960), 204–243  mathnet  mathscinet  zmath
113. S. A. Telyakovskii, “Approximations to differentiable functions by linear means of their Fourier series”, Izv. Akad. Nauk SSSR Ser. Mat., 24:2 (1960), 213–242  mathnet  mathscinet  zmath

   1958
114. S. A. Telyakovskiĭ, “Approximation of differentiable functions by de la Vallée Poussin's sums”, Dokl. Akad. Nauk SSSR, 121 (1958), 426–429  mathnet  mathscinet  zmath

  
115. S. A. Telyakovskii, “On convergence of series from blocks of term of a Fourier series of two variable function of bounded variation”, Mat. Zametki (to appear)  mathnet

Books


   2011
116. S. A. Telyakovskii, Lectures on mathematical analysis. Semester II, Lekts. Kursy NOC, 17, Steklov Math. Inst., RAS, Moscow, 2011 , 194 pp.  mathnet  mathnet  crossref  zmath  elib

   2009
117. S. A. Telyakovskii, Lectures on mathematical analysis. Semester I, Lekts. Kursy NOC, 11, Steklov Math. Inst., RAS, Moscow, 2009 , 212 pp.  mathnet  mathnet  crossref  zmath  elib

   1980
118. S. A. Telyakovskii, Sbornik zadach po teorii funktsii deistvitelnogo peremennogo, Nauka, M., 1980 , 112 pp.  mathscinet

Thesis


   1967
119. S. A. Telyakovskii, “Estimates of sums of trigonometric series and polynomials useful in connection with problems in the theory of approximation of functions”, Math. Notes, 1:5 (1967), 404–412  mathnet  crossref  scopus

Proceedings


   2015
120. S. A. Telyakovskii, “O svoistvakh ryadov iz modulei blokov trigonometricheskogo ryada”, Materialy mezhdunarodnoi nauchnoi konferentsii «Teoriya priblizhenii funktsii i rodstvennye zadachi analiza», posvyaschennoi pamyati doktora fiziko-matematicheskikh nauk, professora P. P. Korovkina (Kaluga, 09–10 oktyabrya 2015 g.), Izd-vo Kaluzhskogo gosudarstvennogo universiteta imeni K. E. Tsiolkovskogo, Kaluga, 2015, 71–72  elib

   2009
121. Yu. N. Subbotin, S. A. Telyakovskii, “K voprosu o ravenstve kolmogorovskikh i otnositelnykh poperechnikov klassov differentsiruemykh funktsii”, Materialy konferentsii Voronezhskoi zimnei matematicheskoi shkoly, 2009, 170

Information matherials


   2010
122. N. N. Andreev, S. V. Konyagin, A. G. Sergeev, Yu. N. Subbotin, S. A. Telyakovskii, N. N. Kholshchevnikova, I. G. Tsar'kov, “International conference “Approximation theory” (Moscow, 23–26 august 2010)”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 314–315  mathnet  elib

   1999
123. V. I. Ivanov, B. S. Kashin, S. A. Telyakovskii, “International Conference “Approximation Theory and Harmonic Analysis””, Uspekhi Mat. Nauk, 54:2(326) (1999), 205–207  mathnet  crossref

Personalia


   2013
124. O. V. Besov, S. V. Bochkarev, E. A. Volkov, V. A. Il'in, B. S. Kashin, V. V. Kozlov, S. V. Konyagin, N. N. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, A. G. Sergeev, S. A. Telyakovskii, “His mathematical century (to the memory of Sergei Mikhailovich Nikol'skii)”, Russian Math. Surveys, 68:3 (2013), 591–594  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2011
125. O. V. Besov, S. V. Bochkarev, B. I. Golubov, A. A. Gonchar, M. I. D'yachenko, V. V. Kozlov, S. V. Konyagin, Yu. V. Malykhin, S. M. Nikol'skii, M. K. Potapov, V. A. Sadovnichii, S. A. Telyakovskii, “Boris Sergeevich Kashin (on his 60th birthday)”, Russian Math. Surveys, 66:4 (2011), 825–828  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2008
126. V. I. Berdyshev, V. A. Kaminsky, S. V. Konyagin, B. P. Osilenker, M. V. Samokhin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Shmatkov, “Alexandr L'vovich Garkavi (obituary)”, Russian Math. Surveys, 63:3 (2008), 547–549  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2007
127. V. V. Arestov, V. I. Berdyshev, O. V. Besov, N. N. Krasovskii, S. M. Nikol'skii, S. I. Novikov, Yu. S. Osipov, S. A. Telyakovskii, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (on his 70th birthday)”, Russian Math. Surveys, 62:2 (2007), 403–406  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   2006
128. B. I. Golubov, S. M. Nikol'skii, S. A. Telyakovskii, P. L. Ul'yanov, “Károly Tandori (obituary)”, Russian Math. Surveys, 61:1 (2006), 161–164  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
129. O. V. Besov, M. S. Nikolskii, S. I. Pokhozhaev, S. A. Telyakovskii, “Sergei Mikhailovich Nikolskii”, S. M. Nikolskii, Izbrannye trudy, v. 1, Nauka, M., 2006, 7–29

   2002
130. S. M. Nikol'skii, A. S. Pospelov, S. A. Telyakovskii, P. L. Ul'yanov, S. V. Umnayshkin, Yu. A. Chaplygin, “Alexandr Vasil'evich Efimov (obituary)”, Russian Math. Surveys, 57:3 (2002), 573–575  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2000
131. Yu. A. Mitropol'skii, S. M. Nikol'skii, A. M. Samoilenko, S. A. Telyakovskii, “Nikolai Pavlovich Korneichuk (on his 80th birthday)”, Russian Math. Surveys, 55:6 (2000), 1205–1207  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   1999
132. D. P. Zhelobenko, S. M. Nikol'skii, S. A. Telyakovskii, “Béla Szőkefalvi-Nagy (obituary)”, Russian Math. Surveys, 54:4 (1999), 819–822  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)

   1997
133. S. V. Konyagin, S. A. Telyakovskii, “In memory of Sergei Borisovich Stechkin”, Fundam. Prikl. Mat., 3:4 (1997), 955–957  mathnet  mathscinet  zmath

   1996
134. A. Andreev, V. I. Berdyshev, B. Bojanov, B. S. Kashin, S. V. Konyagin, S. M. Nikol'skii, K. I. Oskolkov, P. Petrushev, Bl. Sendov, S. A. Telyakovskii, V. N. Temlyakov, “In memory of Sergei Borisovich Stechkin [1920–1995]”, East J. Approx., 2:2 (1996), 131–133  mathscinet (cited: 2)
135. O. V. Besov, V. M. Buchstaber, A. G. Vitushkin, A. A. Gonchar, S. V. Konyagin, L. D. Kudryavtsev, S. M. Nikol'skii, S. P. Novikov, Yu. S. Osipov, A. Yu. Popov, V. A. Sadovnichii, A. F. Sidorov, Yu. N. Subbotin, S. A. Telyakovskii, P. L. Ul'yanov, N. I. Chernykh, “Sergei Borisovich Stechkin (obituary)”, Russian Math. Surveys, 51:6 (1996), 1007–1014  mathnet  crossref  crossref  mathscinet  adsnasa  isi
136. L. D. Kudryavtsev, S. M. Nikol'skii, A. S. Pospelov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, “Aleksandr Vasil'evich Efimov (on his seventieth birthday)”, Russian Math. Surveys, 51:3 (1996), 581–583  mathnet  crossref  crossref  mathscinet  adsnasa  isi

   1995
137. O. V. Besov, S. V. Bochkarev, V. S. Vladimirov, E. A. Volkov, V. K. Dzyadyk, V. A. Il'in, B. S. Kashin, N. P. Korneichuk, L. D. Kudryavtsev, O. A. Oleinik, Yu. S. Osipov, S. I. Pokhozhaev, S. B. Stechkin, S. A. Telyakovskii, V. N. Temlyakov, P. L. Ul'yanov, “Sergei Mikhailovich Nikol'skii (on his ninetieth birthday)”, Russian Math. Surveys, 50:6 (1995), 1321–1327  mathnet  crossref  mathscinet  adsnasa  isi
138. L. D. Kudryavtsev, S. M. Nikol'skii, D. V. Prokhorov, S. B. Stechkin, S. A. Telyakovskii, P. L. Ul'yanov, A. P. Khromov, V. A. Yurko, “Nikolai Petrovich Kuptsov (obituary)”, Russian Math. Surveys, 50:4 (1995), 727–729  mathnet  crossref  mathscinet  adsnasa  isi

   1994
139. S. M. Nikol'skii, L. D. Kudryavtsev, O. V. Besov, S. I. Pokhozhaev, S. A. Telyakovskii, V. A. Il'in, V. I. Burenkov, S. B. Stechkin, N. V. Miroshin, V. S. Kryuchkov, “Petr Ivanovich Lizorkin (obituary)”, Russian Math. Surveys, 49:3 (1994), 177–179  mathnet  crossref  mathscinet  adsnasa  isi

   1991
140. V. S. Vladimirov, A. A. Gonchar, L. D. Kudryavtsev, S. M. Nikol'skii, S. A. Telyakovskii, P. L. Ul'yanov, “Sergei Borisovich Stechkin (on his seventieth birthday)”, Russian Math. Surveys, 46:3 (1991), 255–258  mathnet  crossref  mathscinet  adsnasa  adsnasa  isi

   1971
141. K. I. Oskolkov, S. B. Stečkin, S. A. Teljakovskiĭ, “Petr Vasil'evič Galkin”, Math. Notes, 10 (1971), 787–789  mathnet (cited: 1)  crossref  mathscinet  zmath

Critic, bibliography


   1967
142. S. A. Telyakovskii, “On approximation theory: Eds. P. L. Butzer and J. Korevaar, Basel-Stuttgart, Birkhäuser, 1964, XVI+261pp.”, U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 301–302  mathnet  crossref

Letters, errata


   2010
143. Yu. N. Subbotin, S. A. Telyakovskii, “Letter to the Editor”, Math. Notes, 87:3 (2010), 452  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
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