Approximation characteristics of the classes of periodic functions of many variables SA Stasyuk, OV Fedunyk Ukrainian Mathematical Journal 58 (5), 779-793, 2006 | 33 | 2006 |
Approximation of functions from Nikolskii–Besov type classes of generalized mixed smoothness SA Stasyuk, SY Yanchenko Analysis Mathematica 4 (41), 311-334, 2015 | 21 | 2015 |
Best Approximations and Kolmogorov and Trigonometric Widths of the Classes of Periodic Functions of Many Variables SA Stasyuk Ukrainian Mathematical Journal 56 (11), 1849-1863, 2004 | 15 | 2004 |
Best m-term trigonometric approximation of periodic functions of several variables from Nikol’skii–Besov classes for small smoothness SA Stasyuk Journal of Approximation Theory 177, 1-16, 2014 | 14 | 2014 |
Estimates of efficiency for two methods of stable numerical summation of smooth functions SG Solodky, SA Stasyuk Journal of Complexity 56, 101422, 2020 | 12 | 2020 |
Application of Fourier truncation method to numerical differentiation for bivariate functions EV Semenova, SG Solodky, SA Stasyuk Computational Methods in Applied Mathematics 22 (2), 477-491, 2022 | 11 | 2022 |
Approximations of the classes B p; Â of periodic functions of many variables by polynomials with spectra in cubic domains SA Stasyuk Mat. Stud 35, 66-73, 2011 | 11 | 2011 |
Best m-term trigonometric approximation for the classes $ B_ {p,{{\uptheta}}}^ r $ of functions of low smoothness. S Stasyuk Ukrainian Mathematical Journal 62 (1), 2010 | 10 | 2010 |
Best Approximations of Periodic Functions of Several Variables from the Classes B^p,θ SA Stasyuk Matematicheskie Zametki 87 (1), 108-121, 2010 | 9 | 2010 |
Approximation of the classes of periodic functions of many variables in a uniform metric SA Stasyuk Ukr. Mat. Zh 54, 1551-1559, 0 | 9* | |
Edge detection with trigonometric polynomial shearlets K Schober, J Prestin, SA Stasyuk Advances in Computational Mathematics 47, 1-41, 2021 | 8 | 2021 |
Best M-Term Trigonometric Approximations of the Classes B p,θ Ω of Functions of Many Variables SA Stasyuk Ukrainian Mathematical Journal 54, 470-486, 2002 | 8 | 2002 |
Approximating Characteristics of the Analogs of Besov Classes with Logarithmic Smoothness. S Stasyuk Ukrainian Mathematical Journal 66 (4), 2014 | 7 | 2014 |
Approximation by Fourier sums and Kolmogorov widths for classes of periodic functions of several variables SA Stasyuk Trudy Instituta Matematiki i Mekhaniki UrO RAN 20 (1), 247-257, 2014 | 7 | 2014 |
Best approximations of periodic functions of several variables from the classes SA Stasyuk Mathematical Notes 87 (1), 102-114, 2010 | 7* | 2010 |
The best Approximation of classes BΩ p, θof function of many variables in the space Lp (Rd) SA Stasyuk, SY Yanchenko Zb. Pr. Inst. Mat. NAN Ukr 5 (1), 367-384, 2008 | 7 | 2008 |
Optimization of the Methods of Numerical Differentiation for Bivariate Functions. SG Solodky, SA Stasyuk Ukrainian Mathematical Journal 74 (2), 2022 | 5 | 2022 |
Best m-Term Trigonometric Approximation for Periodic Functions with Low Mixed Smoothness from the Nikol'skii-Besov-Type Classes. S Stasyuk Ukrainian Mathematical Journal 68 (7), 2016 | 5 | 2016 |
Kolmogorov widths for analogs of the Nikol'skii-Besov classes with logarithmic smoothness SA Stasyuk Ukrainian Mathematical Journal 67 (11), 1786-1793, 2016 | 5 | 2016 |
Approximation of certain smoothness classes of periodic functions of several variables by polynomials with regard to the tensor Haar system SA Stasyuk Trudy Instituta Matematiki i Mekhaniki UrO RAN 21 (4), 251-260, 2015 | 5 | 2015 |