Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means

DOI10.1007/s10958-011-0531-3zbMath1303.41006OpenAlexW2086241396MaRDI QIDQ476648

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/s10958-011-0531-3

zbMATH Keywords

Jackson-Stechkin inequalitiesperiodic and nonperiodic functionsSteklov-type means

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15)

Related Items

On constants in estimates of approximations by entire functions of exponential type in terms of moduli of continuity of derivatives ⋮ Estimates for constant in Jackson type inequality for periodic functions ⋮ 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 ⋮ Linear methods in the proof of Jackson type inequalities and applications to estimates of functionals with two known moments ⋮ Estimates of functionals by generalized moduli of continuity generated by the Dunkl operators ⋮ Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators ⋮ 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

• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• Unnamed Item
• Unnamed Item