Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi, \beta)\)-differentiable functions in \(L_2\). II
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Publication:1729524
DOI10.1007/s11253-017-1285-yzbMath1499.41024OpenAlexW4255715756MaRDI QIDQ1729524
Publication date: 27 February 2019
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-017-1285-y
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (12)
Best polynomial approximations and widths of classes of functions in the space \(L_2\) ⋮ Widths of some classes of functions defined by the generalized moduli of continuity \(\omega_\gamma\) in the space \(L_2\) ⋮ Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes ⋮ On estimates of diameter values of classes of functions in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp(-x^2 - y^2)\) ⋮ Exact constants in estimates of approximation of Lipschitz classes of periodic functions by Cesàro means ⋮ On the estimates of the values of various widths of classes of functions of two variables in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\) ⋮ Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). III ⋮ 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 \(\omega_\mathcal{M} \) ⋮ On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\) ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I ⋮ Widths of the classes of functions in the weight space \(L_{2 , \gamma } (\mathbb{R})\), \(\gamma = \mathrm{exp} ( - X^2)\)
Cites Work
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- On the best polynomial approximation in the space \(L_2\) and widths of some classes of functions
- 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
- Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\)
- Widths of classes from \(L_2[0,2\pi\) and minimization of exact constants in Jackson-type inequalities]
- Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths
- Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
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