On some extremal problems of approximation theory of functions on the real axis. II

DOI10.1007/s10958-013-1275-zzbMath1275.41036OpenAlexW2082890106MaRDI QIDQ354891

Sergei B. Vakarchuk

Publication date: 22 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1275-z

zbMATH Keywords

widthcontinuity modulusbest approximationJackson-type inequalityFourier transformationmajorantclass of functionsentire function of the exponential typemean \(\nu\)-widthreal axis

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (6)

Exact constants in Jackson-type inequalities for the best mean square approximation in \(L_2(\mathbb{R})\) and exact values of mean \(\nu\)-widths of the classes of functions ⋮ On the estimates of the values of various widths of classes of functions of two variables in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\) ⋮ On the moduli of continuity and fractional-order derivatives in the problems of best mean-square approximation by entire functions of the exponential type on the entire real axis ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). II ⋮ On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \) ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I

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• DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
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