Approximation of functions of several variables by linear methods in the space Sp

DOI10.14232/ACTASM-012-837-8zbMath1340.42018arXiv1210.7996OpenAlexW2050044823MaRDI QIDQ2936860

V. V. Savchuk, Andrii Shidlich

Publication date: 7 January 2015

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7996

zbMATH Keywords

linear methodsclasses \(H_\omega\)space \(S^p\)

Mathematics Subject Classification ID

Multidimensional problems (41A63) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (5)

Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp ⋮ Approximation on hexagonal domains by Taylor-Abel-Poisson means ⋮ Approximation of functions by linear summation methods in the Orlicz-type spaces ⋮ Direct and inverse theorems on the approximation of \(2\pi\)-periodic functions by Taylor-Abel-Poisson operators ⋮ Widths of functional classes defined by the majorants of generalized moduli of smoothness in the spaces \(\mathcal{S}^p\)

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