Approximation by multivariate quasi-projection operators and Fourier multipliers

DOI10.1016/j.amc.2021.125955OpenAlexW3135769385MaRDI QIDQ2242667

Yurii S. Kolomoitsev, Maria A. Skopina

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13272

zbMATH Keywords

Besov spaceFourier multiplierserror estimatequasi-projection operatoranisotropic best approximationanisotropic moduli of smoothness

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20)

Related Items (7)

Uniform approximation by multivariate quasi-projection operators ⋮ A fast converging sampling operator ⋮ Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces ⋮ Wavelet approximation in Orlicz spaces ⋮ Sharp \(L_p\)-error estimates for sampling operators ⋮ Sharp estimates for the mean-square approximations of convolution classes by shift spaces on the axis ⋮ Fourier analysis in spaces of shifts

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