Sharp inequalities of Jackson-Stechkin type and widths of classes of functions in $L_{2}$

DOI10.13108/2021-13-1-56zbMath1474.42012OpenAlexW3153749221MaRDI QIDQ4988664

Saiddzhobir Saidnasilloevich Khorazmshoev, M. R. Langarshoev

Publication date: 18 May 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa554

zbMATH Keywords

widthsbest polynomial approximationgeneralized modulus of continuityextremal characteristic

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) 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
• Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\)
• A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes
• A direct theorem on approximation ``by angle in the spaces \(L_ p\), \(0<p<1\)
• Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\)
• Exact constants in Jackson-type inequalities and exact values of widths

This page was built for publication: Sharp inequalities of Jackson-Stechkin type and widths of classes of functions in $L_{2}$