Estimates for the approximate characteristics of the classes \(B_{p,\Theta}^{\Omega}\) of periodic functions of two variables with given majorant of mixed moduli of continuity

DOI10.1007/S11253-011-0499-7zbMath1246.41007OpenAlexW2054133692MaRDI QIDQ765130

A. F. Konohrai

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-011-0499-7

zbMATH Keywords

Besov spacewidthmodulus of continuityorthoprojection

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier series and coefficients in several variables (42B05) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

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

Cites Work

• Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
• Approximation characteristics of the classes B p,θ Ω of periodic functions of many variables
• The orthoprojection widths of some classes of periodic functions of two variables with a given majorant of the mixed moduli of continuity
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