Jackson-Stechkin Inequality and Values of Widths of Some Classes of Functions in $L_2$

DOI10.47910/FEMJ202213zbMath1502.30114OpenAlexW4283755457MaRDI QIDQ5039335

K. K. Palavonov, Mirgand Shabozovich Shabozov

Publication date: 12 October 2022

Published in: Dal'nevostochnyi Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/dvmg476

zbMATH Keywords

approximationgeneralized modulus of continuitySteklov functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation in the complex plane (30E10)

Cites Work

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• Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\)
• Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\)
• Problems in the approximation of \(2\pi \)-periodic functions by Fourier sums in the space \(L_2 (2\pi)\)
• Optimal arguments in Jackson's inequality in the power-weighted space \(L_2(\mathbb R^d)\)
• Best polynomial approximations and the widths of function classes in \(L_2\)
• Estimates of the best approximations of periodic functions by trigonometric polynomials in terms of averaged differences and the multidimensional Jackson's theorem
• Best Polynomial Approximations in L 2 and Widths of Some Classes of Functions
• Properties of a family of operators of generalized translation with applications to approximation theory

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