Smoothness of functions versus smoothness of approximation processes

DOI10.1142/S1664360720300029zbMath1469.41015arXiv1903.00229OpenAlexW3093939795MaRDI QIDQ4997876

Sergey Yu. Tikhonov, Yurii S. Kolomoitsev

Publication date: 30 June 2021

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00229

zbMATH Keywords

Fourier multipliersbest approximationLittlewood-Paley decomposition\(K\)-functionalsJackson and Bernstein inequalitiesmeasures of smoothness

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Multidimensional problems (41A63) Approximation by polynomials (41A10) Spline approximation (41A15) Multipliers in one variable harmonic analysis (42A45)

Related Items

On generalized \(K\)-functionals in \(L_p\) for \(0<p<1\) ⋮ Sharp \(L_p\)-error estimates for sampling operators

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