On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \)

DOI10.1134/S000143461907023XzbMath1429.41027OpenAlexW2970387545MaRDI QIDQ2282852

Yanyan Li

Publication date: 20 December 2019

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

Full work available at URL: https://doi.org/10.1134/s000143461907023x

zbMATH Keywords

entire function of exponential typegeneralized modulus of continuitymajorantmean dimensionmean \(\nu \)-width

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

On the estimates of the values of various widths of classes of functions of two variables in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\) ⋮ Estimates of the values of \(n\)-widths of classes of analytic functions in the weight spaces \(H_{2,\gamma}(D)\)

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