Estimates of the approximation characteristics of the classes \(B_{p,\theta}^\Omega\) of periodic functions of several variables with given majorant of mixed moduli of continuity

DOI10.1134/S0001434614050095zbMath1314.41021MaRDI QIDQ2342025

A. F. Konograi

Publication date: 8 May 2015

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

zbMATH Keywords

Hölder's inequalitymixed modulus of continuityclass \(B_{p,\theta}^\Omega\)Minkowskii's inequalityof periodic functionsorthogonal projection width

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items

Estimates of approximative characteristics of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables with given majorant of mixed continuity moduli in the space \(L_\infty\), Estimates of the Fourier widths of the classes of periodic functions with given majorant of the mixed modulus of smoothness, Estimates of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $L_{q}$

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