Jackson type inequalities for deviations of the Riesz averages and applications to estimates of functionals with two known moments

DOI10.1007/s10958-014-1819-xzbMath1301.41012OpenAlexW2067927571MaRDI QIDQ467583

O. L. Vinogradov, V. V. Zhuk

Publication date: 3 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-014-1819-x

zbMATH Keywords

entire functions of exponential typemoduli of continuityRiesz averages

Mathematics Subject Classification ID

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

Related Items (3)

Structural characterization of deviations of quasi-projectors on the real line ⋮ Order of approximation by partial Hausdorff integrals ⋮ Estimates of moments of deviations of the Riesz averages and applications to Jackson type inequalities

Cites Work

• Linear methods in the proof of Jackson type inequalities and applications to estimates of functionals with two known moments
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• 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
• Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type
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