Jackson inequality in \(L_{2}(\mathbb R^{N})\) with generalized modulus of continuity
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Publication:643848
DOI10.1134/S0081543811050178zbMath1229.41013OpenAlexW2468534498MaRDI QIDQ643848
Publication date: 2 November 2011
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543811050178
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)
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Generalized Logan's problem for entire functions of exponential type and optimal argument in Jackson's inequality in \(L_2(\mathbb{R}^3)\) ⋮ On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \) ⋮ Widths of some functional classes in the space \(L_2\) on a period ⋮ An estimate of an optimal argument in the sharp multidimensional Jackson-Stechkin \(L_2\)-inequality ⋮ Generalized Jackson inequality in the space \(L_2(\mathbb{R}^{d})\) with Dunkl weight
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