The rate of decrease of constants in Jackson type inequalities in dependence of the order of the continuity modulus

DOI10.1007/s10958-011-0532-2zbMath1303.41007OpenAlexW2000049528MaRDI QIDQ476649

O. L. Vinogradov, V. V. Zhuk

Publication date: 2 December 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0532-2

zbMATH Keywords

moduli of continuityJackson type inequalitiesperiodic and nonperiodic functions

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25)

Related Items (3)

Estimates for functionals with a known finite set of moments in terms of high order moduli of continuity in spaces of functions defined on a segment ⋮ Improvement of Jackson type inequalities for moduli of continuity of order 4, 6, 8 ⋮ Estimates for functionals with a known, finite set of moments, in terms of moduli of continuity, and behavior of constants, in the Jackson-type inequalities

Cites Work

• Approximation of functions in the spaces \(L_ p\)
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The rate of decrease of constants in Jackson type inequalities in dependence of the order of the continuity modulus