The Main Publications by A.I.STEPANETS
  1. Stepanets, A. I.
    Methods of Approximation Theory: In 2 parts. (Russian) Kiev: Inst. Mat. Nats. Akad. Nauk Ukrain. 2002. - Part I. - 427 pp.
  2. Stepanets, A. I.
    Methods of Approximation Theory: In 2 parts. (Russian) Kiev: Inst. Mat. Nats. Akad. Nauk Ukrain. 2002. - Part II. - 468 pp.
  3. Stepanets, A. I.; Savchuk, V. V.
    Approximations of Cauchy-type integrals. (Russian) Ukrain. Mat. Zh. 54 (2002), no. 5, 706-740.
  4. Stepanets, A. I.
    Approximation of convolution classes by Fourier sums: new results. (Ukrainian) Ukrain. Mat. Zh. 54 (2002), no. 5, 581-602.
  5. Stepanets, A. I.; Serdyuk, A. S.
    Direct and inverse theorems in the theory of the approximation of functions in the space Sp. (Russian) Ukrain. Mat. Zh. 54 (2002), no. 1, 106-124.; translation in Ukrainian Math. J. 54 (2002), no. 1, 126-148.
  6. Stepanets, A. I.
    Approximation characteristics of the spaces Sp. (Russian) Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 2001, no. 2, 86 pp.
    MR2003c:41036
  7. Stepanets, A. I.
    Approximation characteristics of the spaces Sp in various metrics. (Russian) Ukrain. Mat. Zh. 53 (2001), no. 8, 1121--1146.
    MR2003b:41030
  8. Stepanets, A. I.
    Solution of the Kolmogorov-Nikolsky problem for Poisson integrals of continuous functions. (Russian) Mat. Sb. 192 (2001), no. 1, 113--138; translation in Sb. Math. 192 (2001), no. 1-2, 113--139
    MR 2002f:41009
  9. Stepanets, A. I.
    Approximation characteristics of the spaces Sp (Russian) Ukrain. Mat. Zh. 53 (2001), no. 3, 392--416; translation in Ukrainian Math. J. 53 (2001), no. 3, 446--475
  10. Stepanets, A. I.
    Approximative characteristics of spaces Sp. (Russian. English abstract) Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 2000, no. 2, 1--52.
  11. Stepanets, A. I.; Serdyuk, A. S.
    Approximation of periodic analytic functions by interpolation trigonometric polynomials. (Russian) Ukrain. Mat. Zh. 52 (2000), no. 12, 1689--1701; translation in Ukrainian Math. J. 52 (2000), no. 12, 1928--1941 (2001)
    MR2002d:42003
  12. Stepanets, A. I.
    Approximation characteristics of the spaces Sp. (Russian) Ukrain. Mat. Zh. 53 (2001), no. 3, 392--416; translation in Ukrainian Math. J. 53 (2001), no. 3, 446--475
    MR 2002d:41035
  13. Stepanets, A. I.; Serdyuk, A. S.
    Lebesgue inequalities for Poisson integrals. (Russian) Ukrain. Mat. Zh. 52 (2000), no. 6, 798--808; translation in Ukrainian Math. J. 52 (2000), no. 6, 914--925 (2001)
    MR 2002c:42003
  14. Stepanets, A. I.
    Solution of the Kolmogorov-Nikolsky problem for Poisson integrals of continuous functions. (Russian) Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 2000, no. 1, 1--42.
    MR 2002c:42002
  15. Stepanets, A. I.; Serdyuk, A. S.
    Lebesgue inequalities for Poisson integrals. (Russian) Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 2000, no. 1, 43--59
    MR 2002b:42006
  16. Stepanets, A. I.; Serdyuk, A. S.
    Estimation of the remainder of approximation by trigonometric polynomials on the classes of infinitely differentiable functions. (Ukrainian) Proceedings of the Institute of Mathematics of National Academy of Sciences of Ukraine Vol.31 (2000), 447--460.
  17. Stepanets, A. I.; Serdyuk, A. S. Approximation by Fourier sums and best approximations on classes of analytic functions. (Russian) Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 2000, no. 1, 60--92
    MR 2001m:42006
  18. Stepanets, A. I.
    Approximation of -integrals of periodic functions by Fourier sums (small smoothness). II. (Russian) Ukrain. Mat. Zh. 50 (1998), no. 3, 388--400.
    MR 2001g:42006
  19. Stepanets, A. I.
    Approximation of -integrals of periodic functions by Fourier sums (small smoothness). I. (Russian) Ukrain. Mat. Zh. 50 (1998), no. 2, 274--291.
    MR 2001g:42005
  20. Stepanets, A. I.
    The rate of convergence of a group of deviations on sets of -integrals. (Russian) Ukrain. Mat. Zh. 51 (1999), no. 12, 1673--1693; translation in Ukrainian Math. J. 51 (1999), no. 12, 1892--1916 (2000)
    MR 2001a:42005
  21. Stepanets, A.; Wang, Kunyang; Zhang, Xirong
    Approximation of locally integrable functions on the real line. Ukrain. Mat. Zh. 51 (1999), no. 11, 1549--1561.
    MR 2000m:41032
  22. Stepanets, A. I.
    Approximation properties of the Zygmund method. (Russian) Ukrain. Mat. Zh. 51 (1999), no. 4, 493--518; translation in Ukrainian Math. J. 51 (1999), no. 4, 546--576
    MR 2000m:42007
  23. Stepanets, A. I.
    Some statements for convex functions. (Russian) Ukrain. Mat. Zh. 51 (1999), no. 5, 688--702; translation in Ukrainian Math. J. 51 (1999), no. 5, 764--780 (2000)
    MR 2000h:26019
  24. Stepanets, A. I.
    The rate of convergence of Fourier series on classes of -integrals. (Russian) Ukrain. Mat. Zh. 49 (1997), no. 8, 1069--1113; translation in Ukrainian Math. J. 49 (1997), no. 8, 1201--1251 (1998)
    MR 99e:42002
  25. Stepanets, A. I.
    Approximation of -integrals of periodic functions by Fourier sums (small smoothness). (Russian) Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 1997, no. 3, 48 pp.
    MR 98j:42004
  26. Stepanets, A. I.
    Approximations in spaces of locally integrable functions. Ukrainian Math. J. 46 (1994), no. 5, 638--670 (1995).
    MR97i:42004
  27. Stepanets, A. I.; Stepanets, N. I.
    Approximation of -integrals of periodic functions by Fourier sums in the space L. (Russian) Rate of convergence of Fourier series on convolution classes (Russian). Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 1996, no. 11, ii, 63--69.
    MR 97h:42002b
  28. Stepanets, A. I.
    Approximation of -integrals of periodic functions by Fourier sums. (Russian) Rate of convergence of Fourier series on convolution classes (Russian). Nats. Akad. Nauk Ukrain. Inst. Mat. Preprint 1996, no. 11, ii, 3--62.
    MR 97h:42002a
  29. Stepanets, A. I.; Lasuriya, R. A.
    Strong summability of orthogonal expansions of summable functions. II. (Russian) Ukrain. Mat. Zh. 48 (1996), no. 3, 393--405.
    MR 97g:42032b
  30. Stepanets, A. I.; Lasuriya, R. A.
    Strong summability of orthogonal expansions of summable functions. I. (Russian) Ukrain. Mat. Zh. 48 (1996), no. 2, 260--277.
    MR 97g:42032a
  31. Stepanets, A. I.
    Inverse theorems for the approximation of periodic functions. (Russian) Ukrain. Mat. Zh. 47 (1995), no. 9, 1266--1273; translation in Ukrainian Math. J. 47 (1995), no. 9, 1441--1448 (1996)
    MR 97c:42005
  32. Stepanets, A. I.; Serdyuk, A. S.
    Lower bounds for the widths of classes of convolution s of periodic functions in C and L metrics. (Russian) Ukrain. Mat. Zh. 47 (1995), no. 8, 1112--1121.
    MR 96m:41044
  33. Stepanets, Alexander I.
    Classification and approximation of periodic functions. Translated from the 1987 Russian original by P. V. Malyshev and D. V. Malyshev and revised by the author. Mathematics and its Applications, 333. Kluwer Academic Publishers Group, Dordrecht, 1995. x+360 pp. ISBN: 0-7923-3603-8
    MR 96h:42003
  34. Stepanets, A. I.; Serdyuk, A. S.
    On the existence of interpolation SK-splines. (Russian) Ukrain. Mat. Zh. 46 (1994), no. 11, 1546--1553.
    MR 96g:41010
  35. Stepanets, A. I.
    Approximation of Cauchy-type integrals in Jordan domains. (Russian) Ukrain. Mat. Zh. 45 (1993), no. 6, 809--833; translation in Ukrainian Math. J. 45 (1993), no. 6, 890--917 (1994)
    MR 96a:30042
  36. Stepanets, A. I.; Kulik, A. N.
    Approximation of functions in the class by de la Vallee-Poussin sums. (Russian) Mat. Fiz. Nelinein. Mekh. No. 17(51), (1992), 20--27.
    MR 94k:42011
  37. Stepanets, A. I.
    Approximation of functions defined by Cauchy-type integrals. (Russian) Fourier series: theory and applications (Russian), 127--141, Akad. Nauk Ukrainy, Inst. Mat., Kiev, 1992.
    MR 94k:30098
  38. Stepanets, A. I.
    Some remarks on approximation of functions of high smoothness by Fourier operators. (Russian) Ukrain. Mat. Zh. 44 (1992), no. 1, 138--141; translation in Ukrainian Math. J. 44 (1992), no. 1, 126--129
    MR 94h:42017
  39. Stepanets, A. I.
    Approximations in spaces of locally integrable functions. (Russian) Akad. Nauk Ukrainy Inst. Mat. Preprint 1993, no. 18, 47 pp.
    MR 94g:41040
  40. Stepanets, A. I.; Romanyuk, V. S.
    Classes of -differentiable functions of a complex variable and approximation by linear means of their Faber series. (Russian) Ukrain. Mat. Zh. 44 (1992), no. 11, 1556--1570; translation in Ukrainian Math. J. 44 (1992), no. 11, 1432--1446 (1993)
    MR 93m:41022
  41. Stepanets, A. I.; Romanyuk, V. S.
    Classes of -differentiable functions of a complex variable and their approximation by linear means of Faber series. (Russian) Akad. Nauk Ukrainy Inst. Mat. Preprint 1992, no. 15, i, 1--28.
    MR 93k:30066
  42. Stepanets, A. I.; Pachulia, N. L.
    Multiple Fourier sums on sets of -differentiable functions. (Russian) Ukrain. Mat. Zh. 43 (1991), no. 4, 545--555; translation in Ukrainian Math. J. 43 (1991), no. 4, 504--512
    MR 93j:42013
  43. Stepanets, A. I.
    An approximation of Cauchy-type integrals. (Russian) Akad. Nauk Ukrainy Inst. Mat. Preprint 1992, no. 1, 42 pp.
    MR 93j:30043
  44. Stepanets, A. I.
    A new classification of periodic functions and their approximation. Translated from the Russian by Jerzy Trzeciak. Banach Center Publ., 22, Approximation and function spaces (Warsaw, 1986), 437--447, PWN, Warsaw, 1989.
    MR 93e:42008
  45. Gavrilyuk, V. T.; Stepanets, A. I.
    Problems of saturation of linear methods. (Russian) Ukrain. Mat. Zh. 43 (1991), no. 3, 291--308; translation in Ukrainian Math. J. 43 (1991), no. 3, 255--272
    MR 93b:42005
  46. Stepanets, A. I.; Stepanets, N. I.
    Approximation by entire functions in the mean on the real axis. (Russian) Ukrain. Mat. Zh. 43 (1991), no. 1, 121--125; translation in Ukrainian Math. J. 43 (1991), no. 1, 100--104
    MR 92m:41053
  47. Stepanets, A. I.; Pachulia, N. L.
    Multiple Fourier sums on sets of -differentiable functions. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1990, no. 55, 1--16.
    MR 92h:42025
  48. Stepanets, A. I.
    Classes of functions defined on the real axis, and their approximations by entire functions. II. (Russian) Ukrain. Mat. Zh. 42 (1990), no. 2, 210--222; translation in Ukrainian Math. J. 42 (1990), no. 2, 186--197
    MR 92e:41015
  49. Stepanets, A. I.
    Classes of functions defined on the real axis, and their approximations by entire functions. I. (Russian) Ukrain. Mat. Zh. 42 (1990), no. 1, 102--112; translation in Ukrainian Math. J. 42 (1990), no. 1, 93--102
    MR 92e:41014
  50. Stepanets, A. I.; Zaderei, P. V.; Zaderei, N. N.
    Fourier coefficients of functions of the class . (Russian) Ukrain. Mat. Zh. 42 (1990), no. 11, 1537--1545; translation in Ukrainian Math. J. 42 (1990), no. 11, 1380--1387 (1991)
    MR 92c:42010
  51. Stepanets, A. I.; Pachulia, N. L.
    Strong mean deviations of Fourier operators. (Russian) Ukrain. Mat. Zh. 42 (1990), no. 9, 1225--1231; translation in Ukrainian Math. J. 42 (1990), no. 9, 1090--1095 (1991)
    MR 92b:42012
  52. Stepanets, A. I.; Drozd, V. V.
    Simultaneous approximation of functions and their derivatives by Fourier operators in the uniform metric. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1989, no. 17, 3--19.
    MR 91k:41036
  53. Bushev, D. N.; Stepanets, A. I.
    Approximation of weakly differentiable periodic functions. (Russian) Ukrain. Mat. Zh. 42 (1990), no. 3, 406--412; translation in Ukrainian Math. J. 42 (1990), no. 3, 361--366
    MR 91c:42001
  54. Stepanets, A. I.
    Simultaneous approximation of functions and their -derivatives by Fourier sums. (Russian) Ukrain. Mat. Zh. 41 (1989), no. 2, 211--222, 287; translation in Ukrainian Math. J. 41 (1989), no. 2, 189--199
    MR 90k:42011
  55. Stepanets, A. I.; Zhukina, E. I.
    Inverse theorems for the approximation of -differentiable functions. (Russian) Ukrain. Mat. Zh. 41 (1989), no. 8, 1106--1112, 1151; translation in Ukrainian Math. J. 41 (1989), no. 8, 953--958 (1990)
    MR 90k:42007
  56. Pachulia, N. L.; Stepanets, A. I.
    Strong summability of Fourier series in classes of -differentiable functions. (Russian) Mat. Zametki 44 (1988), no. 4, 506--516, 557.
    MR 90i:42011
  57. Stepanets, A. I.
    Deviations of Fourier sums on classes of entire functions. (Russian) Ukrain. Mat. Zh. 41 (1989), no. 6, 783--789, 862; translation in Ukrainian Math. J. 41 (1989), no. 6, 672--677 (1990)
    MR 90i:42009
  58. Stepanets, A. I.
    On the Lebesgue inequality on classes of -differentiable functions. (Russian) Ukrain. Mat. Zh. 41 (1989), no. 4, 499--510, 575; translation in Ukrainian Math. J. 41 (1989), no. 4, 435--443
    MR 90h:42003
  59. Stepanets, A. I.
    V. K. Dzyadyk's research on the theory of approximating periodic functions. (Russian) Ukrain. Mat. Zh. 41 (1989), no. 4, 436--441, 574; translation in Ukrainian Math. J. 41 (1989), no. 4, 379--383
    MR 90f:01054a
  60. Stepanets, A. I.; Pachulia, N. L.
    Estimates for strong mean deviations of Fourier operators in the uniform metric. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1988, no. 27, 48--56.
    MR 90e:42009c
  61. Stepanets, A. I.; Stepanets, N. I.
    Approximation by entire functions in the mean. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1988, no. 27, 42--47.
    MR 90e:42009b
  62. Stepanets, A. I.
    Approximation by entire functions in the uniform metric. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1988, no. 27, 3--41.
    MR 90e:42009a
  63. Stepanets, A. I.
    Fourier sums: new results and unsolved problems. (Russian) Ukrain. Mat. Zh. 40 (1988), no. 5, 547--562, 676; translation in Ukrainian Math. J. 40 (1988), no. 5, 467--481 (1989)
    MR 90c:42008
  64. Stepanets, A. I.
    Classification and approximation of periodic functions. (Russian) ``Naukova Dumka'', Kiev, 1987. 268 pp.
    MR 90b:42007
  65. Stepanets, A. I.
    Approximation by Fourier operators of functions that are defined on the real axis. (Russian) Dokl. Akad. Nauk SSSR 303 (1988), no. 1, 50--53; translation in Soviet Math. Dokl. 38 (1989), no. 3, 492--495
    MR 90b:41037
  66. Stepanets, A. I.; Pachulia, N. L.
    Rate of convergence of a group of deviations in the space . (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1987, no. 40, 3--8.
    MR 89i:42010
  67. Stepanets, A. I.
    The mean-square rate of convergence of orthogonal series. (Russian) Ukrain. Mat. Zh. 39 (1987), no. 5, 606--611, 679.
    MR 89f:42004
  68. Stepanets, A. I.
    Approximation by Fourier operators of functions given on the real axis. (Russian) Ukrain. Mat. Zh. 40 (1988), no. 2, 198--209, 271; translation in Ukrainian Math. J. 40 (1988), no. 2, 169--179
    MR 89d:42008
  69. Stepanets, A. I.; Pachulia, N. L.
    On the behavior of a group of deviations on sets of -differentiable functions. (Russian) Ukrain. Mat. Zh. 40 (1988), no. 1, 101--105, 135; translation in Ukrainian Math. J. 40 (1988), no. 1, 85--89
    MR 89b:42008
  70. Stepanets, A. I.; Kushpel', A. K.
    Rate of convergence of Fourier series and best approximations in the space Lp. (Russian) Ukrain. Mat. Zh. 39 (1987), no. 4, 483--492, 543.
    MR 89a:42008
  71. Stepanets, A. I.
    Best approximations for infinitely differentiable functions in the spaces Ls. (Russian) Mat. Zametki 42 (1987), no. 1, 21--32, 166.
    MR 88m:41020
  72. Stepanets, A. I.
    Approximations on classes of -differentiable functions. (Russian) Dokl. Akad. Nauk SSSR 293 (1987), no. 4, 797--800.
    MR 88i:42012
  73. Stepanets, A. I.
    Approximation by Fourier sums of functions with slowly decreasing Fourier coefficients. (Russian) Ukrain. Mat. Zh. 38 (1986), no. 6, 755--762, 815.
    MR 88h:42006
  74. Stepanets, A. I.; Stepanets, N. I.
    The rate of convergence of Fourier series in the metric L. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1986, no. 66, 53--56.
    MR 88f:42013c
  75. Stepanets, A. I.; Pachulia, N. L.
    On the strong summability of Fourier series in the spaces . (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1986, no. 66, 48--52.
    MR 88f:42013b
  76. Stepanets, A. I.
    The rate of convergence of Fourier series in the spaces . (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1986, no. 66, 3--48.
    MR 88f:42013a
  77. Stepanets, A. I.; Zhukina, E. I.
    Imbedding conditions for certain classes. (Russian) Some problems in the theory of approximation of functions (Russian), 121--125, 148, Akad. Nauk Ukrain. SSR, Kiev, 1985.
    MR 88d:42008
  78. Stepanets, A. I.
    Moduli of half-decay of monotone functions and the rate of convergence of Fourier series. (Russian) Ukrain. Mat. Zh. 38 (1986), no. 5, 618--624, 679.
    MR 88c:42011
  79. Stepanets, A. I.
    Classification of periodic functions and the rate of convergence of their Fourier series. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 50 (1986), no. 1, 101--136, 208.
    MR 88a:42003
  80. Stepanets, A. I.
    Approximation of infinitely differentiable periodic functions. (Russian) Reports of the extended sessions of a seminar of the I. N. Vekua Institute of Applied Mathematics, Vol. I, no. 2 (Russian) (Tbilisi, 1985), 133--135, 187, Tbilis. Gos. Univ., Tbilisi, 1985.
    MR 87j:42013
  81. Stepanets, A. I.; Novikova, A. K.
    Approximation of periodic functions by Fourier sums in the mean. (Russian) Ukrain. Mat. Zh. 38 (1986), no. 2, 204--210, 269.
    MR 87h:42007
  82. Stepanets, A. I.
    On the problem of simultaneous approximation of functions and their -derivatives. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1985, no. 7, 3--21.
    MR 87f:42005
  83. Stepanets, A. I.; Pachulia, N. L.
    Strong summability of Fourier series. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1985, no. 61, 3--13.
    MR 87e:42012a
  84. Stepanets, A. I.
    The order relation for -derivatives. (Russian) Ukrain. Mat. Zh. 37 (1985), no. 5, 645--648, 679.
    MR 87d:42012
  85. Sorich, N. N.; Stepanets, A. I.
    Simultaneous approximation of periodic functions and their derivatives. (Russian) Mat. Zametki 36 (1984), no. 6, 873--882, 942.
    MR 86j:42002
  86. Stepanets, A. I.
    Approximation by Fourier sums of functions with slowly decreasing Fourier coefficients. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1984, no.43, 3--25.
    MR 86h:42005
  87. Stepanets, A. I.
    Deviations of Fourier sums on classes of infinitely differentiable functions. (Russian) Ukrain. Mat. Zh. 36 (1984), no.6, 750--758.
    MR 86e:42010
  88. Stepanets, A. I.
    Classes of periodic functions and the approximation of their elements by Fourier sums. (Russian) Dokl. Akad. Nauk SSSR 277 (1984), no. 5, 1074--1077.
    MR 85k:42009
  89. Stepanets, A. I.; Kushpel', A. K.
    Best approximations and diameters of classes of periodic functions. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1984, no. 15, 44 pp.
    MR 85j:42004
  90. Stepanets, A. I.
    The behavior of sequences of partial Fourier sums of continuous functions near their points of divergence. (Russian) Ukrain. Mat. Zh. 35 (1983), no.5, 652--653.
    MR 85d:42006
  91. Stepanets, A. I.
    Sharp estimates of multiple integrals on classes of continuous functions of several variables and their application. (Russian) Constructive function theory '81 (Varna, 1981), 157--161, Bulgar. Acad. Sci., Sofia, 1983.
    MR 85b:42007
  92. Stepanets, A. I.
    Classification of periodic functions and approximation by their Fourier sums. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1983, no. 69, 57 pp.
    MR 85b:42002
  93. Stepanets, A. I.
    Simultaneous approximation of a pair of conjugate functions. Mat. Zametki 34 (1983), no. 5, 641--650.
    MR 85a:42005
  94. Stepanets, A. I.
    Upper bounds for Fourier coefficients on classes of continuous functions of several variables. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 46 (1982), no. 3, 650--665, 672.
    MR 84j:42023
  95. Stepanets, A. I.
    Classes of periodic functions and approximation of their elements by Fourier sums. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1983, no. 10, 57 pp.
    MR 84j:42006
  96. Stepanets, A. I.
    Asymptotic representations of deviations of Zygmund means from differentiable periodic functions. (Russian) Methods of approximation theory and their applications, 96--115, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1982.
    MR 84i:42005
  97. Stepanets, A. I.; Rukasov, V. I.
    Approximation by Fourier sums of triangular type on classes of continuous periodic functions of two variables. (Russian) Ukrain. Mat. Zh. 35 (1983), no. 2, 249--254.
    MR 84h:42004
  98. Stepanets, A. I.
    Simultaneous approximation of conjugate functions and their derivatives by Fourier sums. (Russian) Investigations in the theory of approximation of functions, pp. 82--88, 103, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1981.
    MR 84e:42018
  99. Stepanets, A. I.
    Uniform approximation by trigonometric polynomials (Russian) Linear methods ``Naukova Dumka'', Kiev, 1981. 340 pp.
    MR 83k:42002
  100. Stepanets, A. I.; Zaderei , P. V.
    Approximation of periodic functions of several variables by de la Vallee-Poussin sums. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1981, no. 10, 3--16.
    MR 83j:41023
  101. Stepanets, A. I.
    Simultaneous approximation of periodic functions and their derivatives by Fourier sums. (Russian) Questions of the theory of the approximation of functions (Russian), pp. 159--165, 201, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1980.
    MR 83e:42003
  102. Stepanets, A. I.
    Exact estimates of Fourier coefficients of classes of continuous and differentiable periodic functions of several variables. (Russian) Dokl. Akad. Nauk SSSR 261 (1981), no. 1, 34--38.
    MR 83a:42014
  103. Stepanec, A. I.
    On simultaneous approximation of periodic functions and their derivatives by Fourier sums. (Russian) Ukrain. Mat. Zh. 33 (1981), no. 3, 356--367.
    MR 82j:42002
  104. Stepanec, A. I.
    Asymptotic formulas for the roots of the cosine integral. (Russian) Questions of the theory of the approximation of functions (Russian), pp. 154--159, 200, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1980.
    MR 82i:33001
  105. Stepanec, A. I.
    Asymptotically exact estimates of the deviations of partial Fourier sums on classes of continuous periodic functions of several variables. (Russian) Ukrain. Mat. Zh. 33 (1981), no. 1, 119--123.
    MR 82f:42015
  106. Stepanec, A. I.
    Simultaneous approximation of periodic functions and their derivatives by Fourier sums. (Russian) Dokl. Akad. Nauk SSSR 254 (1980), no. 3, 543--544.
    MR 81m:42001
  107. Stepanec, A. I.
    Estimates of deviations of partial Fourier sums on classes of continuous periodic functions of several variables. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), no. 5, 1150--1190, 1214.
    MR 81k:42014
  108. Zaderej, P. V.; Stepanets, A. I.
    On the approximation of conjugate functions from Holder classes by Fejer means. Anal. Math. 5 (1979), no. 2, 167--178.
    MR 81j:42024
  109. Zaderei , N. N.; Stepanec, A. I.
    Approximation by Fourier sums on classes of periodic functions defined by polyharmonic operators. (Russian) Mat. Zametki 27 (1980), no. 4, 569--581, 669.
    MR 81h:42006
  110. Stepanec, A. I.
    Exact estimates of deviations of Favard sums on classes of continuous periodic functions of two variables. (Russian) Ukrain. Mat. Zh. 32 (1980), no. 4, 528--537.
    MR 81h:42005
  111. Stepanec, A. I.
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Last updated September 6, 2003.