Approximation by sampling‐type operators in Lp‐spaces

DOI10.1002/mma.6222zbMath1459.41007arXiv2001.08796OpenAlexW3099103705MaRDI QIDQ5136902

Maria A. Skopina, Yurii S. Kolomoitsev

Publication date: 30 November 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08796

zbMATH Keywords

error estimatebest approximationmoduli of smoothnesssampling-type operators

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20)

Related Items (9)

Approximation properties of periodic multivariate quasi-interpolation operators ⋮ Uniform approximation by multivariate quasi-projection operators ⋮ Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces ⋮ Wavelet approximation in Orlicz spaces ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification ⋮ Sparse grid approximation in weighted Wiener spaces ⋮ Approximation by multivariate quasi-projection operators and Fourier multipliers ⋮ Approximation by quasi-interpolation operators and Smolyak's algorithm

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