\(n\)-widths of certain function classes defined by the modulus of continuity
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Publication:505905
DOI10.1016/J.JAT.2016.12.003zbMath1362.41007OpenAlexW2562390961MaRDI QIDQ505905
Sofiya Davronbekovna Temurbekova, Gulzorkhon Amirshoevich Yusupov, Mirgand Shabozovich Shabozov
Publication date: 26 January 2017
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2016.12.003
modulus of continuitywidthsbest approximationdifferentiable periodic functionsinequalities of Jackson-Stechkin
Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Cites Work
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- Widths of certain classes of periodic functions in \(L_2\)
- Widths in \(L_ 2\) of classes of differentiable functions, defined by higher-order moduli of continuity
- Sharp Jackson-Stechkin inequality in \(L_2\) with the modulus of continuity generated by an arbitrary finite-difference operator with constant coefficients
- Jackson-type inequalities and widths of function classes in \(L_{2}\)
- The exact constant in the Jackson inequality in \(L^ 2\)
- Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi\)]
- Jackson's-Stechkin's inequality and the values of widths for some classes of functions from \(L_2\)
- Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths
- On moduli of smoothness of fractional order
- Exact constants in Jackson-type inequalities and exact values of widths
- Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
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