Asymptotical behavior of the optimal linear spline interpolation error of C2 functions V Babenko, Y Babenko, A Ligun, A Shumeiko
East journal on approximations 12 (1), 71-102, 2006
27 2006 About Kolmogorov type inequalities for functions defined on a half line V Babenko, Y Babenko
Constructive theory of functions, 205-208, 2003
13 * 2003 Stechkin’s problem for differential operators and functionals of first and second order Y Babenko, D Skorokhodov
Journal of Approximation Theory, 173-200, 2013
11 2013 Challenges in promoting undergraduate research in the mathematical sciences F Alayont, Y Babenko, C Jackson, Z Szaniszlo
Involve, a Journal of Mathematics 7 (3), 265-271, 2014
10 2014 Sharp asymptotics of the L p approximation error for interpolation on block partitions Y Babenko, T Leskevich, JM Mirebeau
Numerische Mathematik 117 (3), 397-423, 2011
10 2011 Exact asymptotics of the optimal -error of linear spline interpolation V Babenko, Y Babenko, D Skorokhodov
East Journal on Approximations 14 (3), 285-317, 2008
7 2008 Pointwise inequalities of Landau–Kolmogorov type for functions defined on a finite segment YV Babenko
Ukrainian Mathematical Journal 53 (2), 270-275, 2001
7 2001 Simultaneous approximation of a multivariate function and its derivatives by multilinear splines R Anderson, Y Babenko, T Leskevych
Journal of approximation theory 183, 82-97, 2014
6 2014 On the asymptotic behavior of the optimal error of spline interpolation of multivariate functions Y Babenko
6 2006 On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces V Babenko, Y Babenko, N Kriachko, D Skorokhodov
Analysis Mathematica 47, 709-745, 2021
5 2021 On multivariate Ostrowski type inequalities and their applications V Babenko, Y Babenko, O Kovalenko
Math Ineq Appl 23 (2), 569-583, 2020
5 2020 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 the Kolmogorov problem for the upper bounds of four consecutive derivatives of a multiply monotone function V Babenko, Y Babenko
Constructive Approximation 26 (1), 83-92, 2007
5 2007 On asymptotically optimal cubatures for multidimensional Sobolev spaces VF Babenko, YV Babenko, OV Kovalenko
Researches in Mathematics 29 (2), 15-27, 2021
4 2021 Inequalities of Hardy–Littlewood–Polya type for functions of operators and their applications V Babenko, Y Babenko, N Kriachko
Journal of Mathematical Analysis and Applications 444 (1), 512-526, 2016
4 2016 Kolmogorov's problem on the class of multiply monotone functions V Babenko, Y Babenko, O Kovalenko
Advances in Mathematics 280, 256-281, 2015
4 2015 On the L p -error of adaptive approximation of bivariate functions by harmonic splines Y Babenko, T Leskevich
Applicable Analysis 93 (1), 171-189, 2014
4 2014 Exact asymptotics of the uniform error of interpolation by multilinear splines Y Babenko
Journal of Approximation Theory 162 (5), 1007-1024, 2010
3 2010 The Kolmogorov inequality for absolutely monotone functions on a half-line VF Babenko, YV Babenko
Advances in Constructive Approximation: Vanderbilt 2003, 63-74, 2004
3 2004 Exact inequalities of Landau type for functions with second derivatives from Orlich spaces Y Babenko
Bulletin of Dnepropetrovsk National University, 2001
3 2001