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On Jackson's inequality with a generalized modulus of continuity.

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Publication:1889475
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DOI10.1023/A:1024029208953zbMath1062.41009MaRDI QIDQ1889475

A. V. Rozhdestvenskij, A. I. Kozko

Publication date: 2 December 2004

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


zbMATH Keywords

modulus of continuityJackson's inequality


Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)


Related Items (4)

On the continuity of the sharp constant in the Jackson-Stechkin inequality in the space \(L^2\) ⋮ Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). I ⋮ 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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