Approximations of classes $ B_{p,{{\theta }}}^\Omega $ of functions of many variables by entire functions in the space L q (R d )

DOI10.1007/S11253-010-0338-2zbMath1224.30178OpenAlexW2061127474MaRDI QIDQ3076496

Sergii Ya. Yanchenko

Publication date: 22 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11253-010-0338-2

zbMATH Keywords

Besov spacebest approximationexponential type entire function

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation in the complex plane (30E10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (3)

Approximation of functions from the classes \(S^R_{P,\theta}B\) in the uniform metric ⋮ Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\Omega } B(\mathbb R^d)\) with a given majorant of mixed moduli of continuity ⋮ Approximating characteristics of the Nikol'skii-Besov classes \({S}_{1,\theta}^rB({\mathbb{R}}^d) \)

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