Sharp Kolmogorov-type inequalities for norms of fractional derivatives of multivariate functions VF Babenko, NV Parfinovych, SA Pichugov
Ukrains’ kyi Matematychnyi Zhurnal 62 (3), 301–314-301–314, 2010
17 2010 Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in L ∞ and related problems VF Babenko, NV Parfinovich, SA Pichugov
Mathematical Notes 95, 3-14, 2014
11 2014 Kolmogorov type inequalities for norms of Riesz derivatives of multivariate functions and some applications VF Babenko, NV Parfinovich
Proceedings of the Steklov Institute of Mathematics 277, 9-20, 2012
10 2012 Exact values of best approximations for classes of periodic functions by splines of deficiency 2 VF Babenko, NV Parfinovich
Mathematical Notes 85, 515-527, 2009
10 2009 On approximation of hypersingular integral operators by bounded ones V Babenko, O Kovalenko, N Parfinovych
Journal of Mathematical Analysis and Applications 513 (2), 126215, 2022
8 2022 On the exact values of the best approximations of classes of differentiable periodic functions by splines VF Babenko, NV Parfinovich
Mathematical Notes 87, 623-635, 2010
8 2010 Неравенства типа Колмогорова для норм производных Рисса функций многих переменных и некоторые их приложения ВФ Бабенко, НВ Парфинович
Труды Института математики и механики УрО РАН 17 (3), 60-70, 2011
7 2011 On the bestL 1 -approximations of functional classes by splines under restrictions imposed on their derivatives VF Babenko, NV Parfinovich
Ukrainian Mathematical Journal 51, 481-491, 1999
7 1999 Solvability issues for some noncoercive and nonmonotone parabolic equations arising in the image denoising problems P Kogut, Y Kohut, N Parfinovych
Журнал з оптимізації, диференціальних рівнянь та їх застосувань 30 (2), 19-48, 2022
6 2022 Неравенства типа Колмогорова для норм производных Рисса функций многих переменных с ограниченным в лапласианом и смежные задачи ВФ Бабенко, НВ Парфинович, СА Пичугов
Математические заметки 95 (1), 3-17, 2014
6 2014 Optimal recovery of integral operators and its applications V Babenko, Y Babenko, N Parfinovych, D Skorokhodov
Journal of Complexity 35, 102-123, 2016
5 2016 On Landau--Kolmogorov type inequalities for charges and their applications V Babenko, V Babenko, O Kovalenko, N Parfinovych
arXiv preprint arXiv:2304.10402, 2023
4 2023 Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line VF Babenko, MS Churilova, NV Parfinovych, DS Skorokhodov
Journal of Inequalities and Applications 2014, 1-29, 2014
4 2014 О точных значениях наилучших приближений классов дифференцируемых периодических функций сплайнами ВФ Бабенко, НВ Парфинович
Математические заметки 87 (5), 669-683, 2010
4 2010 Exact Values of the Best (𝛼, β )-Approximations for the Classes of Convolutions with Kernels that Do Not Increase the Number of Sign Changes NV Parfinovych
Ukrainian Mathematical Journal 69 (8), 1248-1261, 2018
3 2018 On extremal subspaces for widths of classes of convolutions NV Parfinovich
Researches in Mathematics 25, 68-79, 2017
3 2017 Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities. VF Babenko, NV Parfinovich
Ukrainian Mathematical Journal 61 (11), 2009
3 2009 О наилучших L₁-приближениях функциональных классов сплайнами при наличии ограничений на их производные ВФ Бабенко, НВ Парфинович
Український математичний журнал, 1999
3 1999 Nagy type inequalities in metric measure spaces and some applications V Babenko, V Babenko, O Kovalenko, N Parfinovych
arXiv preprint arXiv:2306.11016, 2023
2 2023 General form of $$$(\lambda,\varphi) $$$-additive operators on spaces of $$$ L $$$-space-valued functions VF Babenko, VV Babenko, OV Kovalenko, NV Parfinovych
Researches in Mathematics 30 (1), 3-9, 2022
2 2022