Some inequalities between the best polynomial approximations and averaged finite-difference norms in space \(L_2\)

DOI10.3103/S1066369X21100078zbMath1494.41006OpenAlexW3215270269WikidataQ114039187 ScholiaQ114039187MaRDI QIDQ2066418

M. A. Abdulkhaminov, Mirgand Shabozovich Shabozov

Publication date: 14 January 2022

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21100078

zbMATH Keywords

best approximationssmoothness characteristic\(n\)-widthsfinite differences of \(m\)th order

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inequalities between best polynomial approximations and some smoothness characteristics in the space \(L_2\) and widths of classes of functions
• Sharp Jackson-Stechkin type inequalities for periodic functions in \(L _{2}\) and widths of function classes
• 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 \(L_2 (2\pi)\)
• 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
• On Jackson's inequality for a generalized modulus of continuity in $ L_2$

This page was built for publication: Some inequalities between the best polynomial approximations and averaged finite-difference norms in space \(L_2\)