Widths of certain classes of periodic functions in \(L_2\)

DOI10.1016/J.JAT.2012.03.012zbMath1266.42004OpenAlexW2075812976MaRDI QIDQ435169

Gulzorkhon Amirshoevich Yusupov, Mirgand Shabozovich Shabozov

Publication date: 11 July 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.03.012

zbMATH Keywords

widthmodulus of continuity

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

\(n\)-widths of certain function classes defined by the modulus of continuity

Cites Work

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• 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 \(L_{2}\)
• On the best polynomial approximations in \(L_2\) of some classes of \(2\pi\)-periodic functions and of the exact values of their \(n\)-widths
• Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi\)]
• Widths of classes from \(L_2[0,2\pi\) and minimization of exact constants in Jackson-type inequalities]
• Exact constants in Jackson-type inequalities and exact values of widths
• Best Polynomial Approximations in L 2 and Widths of Some Classes of Functions

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