Anatoly Serdyuk
Anatoly Serdyuk
Leading researcher, department of Theory of functions, Institute of Mathematics NAS of Ukraine
Подтвержден адрес электронной почты в домене imath.kiev.ua - Главная страница
НазваниеПроцитированоГод
Direct and inverse theorems in the theory of approximation of functions in the space S p
AI Stepanets, AS Serdyuk
Ukrainian Mathematical Journal 54 (1), 126-148, 2002
22*2002
Рiвномiрнi наближення класiв (ψ, β)–диференцiйовних функцiй лiнiйними методами
АС Сердюк, IВ Соколенко
Проблеми теорiї наближення функцiй та сумiжнi питання: Зб. праць Iнституту …, 2011
21*2011
Classification of infinitely differentiable periodic functions
AI Stepanets, AS Serdyuk, AL Shidlich
Ukrainian Mathematical Journal 60 (12), 1982-2005, 2008
19*2008
Direct and Inverse Theorems in the Theory of Approximation of Functions in the Space S^ p
AS Serdyuk, OI Stepanets
Ukrains’ kyi Matematychnyi Zhurnal 54 (01), 106-124, 2002
182002
Exact values of Kolmogorov widths of classes of Poisson integrals
AS Serdyuk, VV Bodenchuk
Journal of Approximation Theory 173 (9), 89-109, 2013
172013
Approximation of classes of analytic functions by Fourier sums in uniform metric
AS Serdyuk
Ukrainian Mathematical Journal 57 (8), 1275-1296, 2005
17*2005
Порядкові оцінки найкращих наближень і наближень сумами Фур’є класів (ψ, β)-диференційовних функцій
УЗ Грабова, АС Сердюк
Український математичний журнал 65 (09), 1186-1197, 2013
15*2013
Approximation by Fourier sums and best approximations on classes of analytic functions
AI Stepanets’, AS Serdyuk
Ukrainian Mathematical Journal 52 (3), 433-456, 2000
152000
Widths and best approximations for classes of convolutions of periodic functions
AS Serdyuk
Ukrainian Mathematical Journal 51 (5), 748-763, 1999
15*1999
Lower bounds for widths of classes of convolutions of periodic functions in the metrics ofC andL
AI Stepanets, AS Serdyuk
Ukrainian Mathematical Journal 47 (8), 1271-1282, 1995
15*1995
Приближение суммами Фурье и наилучшие приближения на классах аналитических функций
АИ Степанец, АС Сердюк
Приближение аналитических периодических функций, 60-92, 2000
14*2000
Наближення інтегралів Пуассона сумами Валле Пуссена
АС Сердюк
Український математичний журнал 56 (01), 97-107, 2004
132004
Approximation of classes of analytic functions by de la Vall´ee Poussin sums in uniform metric
AS Serdyuk, IY Ovsii, AP Musienko
Rendiconti di Matematica 32 (1-2), 1-15, 2012
122012
Approximation of Poisson integrals by de la Vallée Poussin sums
AS Serdyuk
Ukrainian Mathematical Journal 56 (1), 122-134, 2004
122004
Approximation of Poisson integrals by de la Valleé-Poussin sums in uniform and integral metrics
AS Serdyuk
Ukrainian Mathematical Journal 62 (12), 1941-1957, 2011
11*2011
On relationship between classes of-differentiable functions and Gevrey classes
AI Stepanets, AS Serdyuk, AL Shidlich
Ukrainian Mathematical Journal 61 (1), 171-177, 2009
112009
Widths in the space Sp of classes of functions defined by the moduli of continuity of their ψ-derivatives
AS Serdyuk
Extremal Problems in the Theory of Functions and Related Problems, 229-248, 2003
11*2003
Order estimates for the best approximations and approximations of the classes of infinitely differential functions by Fourier sums
AS Serdyuk, TA Stepanyuk
Approximation Theory of Functions and Related Problems, 255-282, 2013
102013
Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions
AS Serdyuk
Ukrainian Mathematical Journal, 1-19, 2012
102012
On some new criteria for infinite differentiability of periodic functions
AS Serdyuk, AL Shydlich
Ukrainian Mathematical Journal 59 (10), 1569-1580, 2007
102007
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Статьи 1–20