Polynomial approximation with respect to multiplicative systems in the Morrey space

DOI10.1134/S0037446623010044MaRDI QIDQ2687453

Sergey S. Volosivets

Publication date: 2 March 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Morrey spacemultiplicative systemgeneralized derivativedirect and inverse approximation theorems\( K \)-functional

Mathematics Subject Classification ID

Approximations and expansions (41Axx) Harmonic analysis in several variables (42Bxx) Nontrigonometric harmonic analysis (42Cxx)

Cites Work

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• Morrey spaces
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Approximation by polynomials with respect to multiplicative systems in weighted \(L^p\)-spaces
• Another Characterization of BMO
• On a generalization of the concept of derivative
• Weighted Norm Inequalities for Vilenkin-Fourier Series
• Weighted Norm Inequalities for the Hardy Maximal Function
• Walsh-fourier series and the concept of a derivative^†

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