Uniform approximations by Fourier sums in classes of generalized Poisson integrals AS Serdyuk, TA Stepanyuk
Analysis Mathematica 45 (1), 201-236, 2019
34 2019 On the Approximation of the Classes WβrHα by Biharmonic Poisson Integrals. UZ Hrabova, IV Kal'Chuk, TA Stepanyuk
Ukrainian Mathematical Journal 70 (5), 2018
24 2018 Approximative properties of the Weierstrass integrals on the classes UZ Grabova, IV Kal’chuk, TA Stepaniuk
Journal of Mathematical Sciences 231, 41-47, 2018
22 * 2018 Approximation of Functions from the Classes by Weierstrass Integrals. U Hrabova, I Kal'chuk, T Stepanyuk
Ukrainian Mathematical Journal 69 (4), 2017
21 2017 Approximation properties of Poisson integrals for the classes C β ψ H α YI Kharkevich, TA Stepanyuk
Mathematical Notes 96, 1008-1019, 2014
21 * 2014 Наближення класів узагальнених інтегралів Пуассона сумами Фур’є в метриках просторів L s АС Сердюк, ТА Степанюк
Український математичний журнал, 695-704, 2017
19 * 2017 Оцінки найкращих наближень класів нескінченно диференційовних функцій у рівномірній та інтегральних метриках AS Serdyuk, TA Stepanyuk
Ukrains’ kyi Matematychnyi Zhurnal 66 (9), 1244–1256-1244–1256, 2014
18 * 2014 Riesz and green energy on projective spaces A Anderson, M Dostert, P Grabner, R Matzke, T Stepaniuk
Transactions of the American Mathematical Society, Series B 10 (29), 1039-1076, 2023
14 2023 Рівномірні наближення сумами Фур'є на класах згорток з узагальненими ядрами Пуассона АС Сердюк, ТА Степанюк
Доповіді Національної академії наук України, 10-16, 2016
14 * 2016 Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric AS Serdyuk, TA Stepanyuk
Ukrainian Mathematical Journal 66 (12), 1862-1882, 2015
12 * 2015 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
9 2013 Comparison of probabilistic and deterministic point sets on the sphere PJ Grabner, TA Stepanyuk
Journal of approximation theory 239, 128-143, 2019
7 2019 Approximate properties of Abel-Poisson integrals on classes of differentiable functions defined by moduli of continuity YI Kharkevych, TA Stepaniuk
Carpathian Mathematical Publications 15 (1), 286-294, 2023
6 2023 Upper and lower estimates for numerical integration errors on spheres of arbitrary dimension PJ Grabner, TA Stepanyuk
Journal of Complexity 53, 113-132, 2019
6 2019 Hyperuniform point sets on flat tori: deterministic and probabilistic aspects TA Stepanyuk
Constructive Approximation 52 (2), 313-339, 2020
5 2020 Asymptotically best possible Lebesque-type inequalities for the Fourier sums on sets of generalized Poisson integrals A Serdyuk, T Stepaniuk
arXiv preprint arXiv:1908.09517, 2019
5 2019 Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces A Ebert, P Kritzer, O Osisiogu, T Stepaniuk
Constructive Approximation 56 (1), 75-119, 2022
4 2022 About Lebesgue inequalities on the classes of generalized Poisson integrals AS Serdyuk, TA Stepaniuk
arXiv preprint arXiv:2005.13849, 2020
4 2020 Lebesque-type inequalities for the Fourier sums on classes of generalized Poisson integrals A Serdyuk, T Stepaniuk
arXiv preprint arXiv:1804.05722, 2018
4 2018 Order estimates for the best orthogonal trigonometric approximations of the classes of convolutions of periodic functions of low smoothness AS Serdyuk, TA Stepanyuk
Ukrainian Mathematical Journal 67, 1038-1061, 2015
4 2015