Estimates for functionals with a known finite set of moments in terms of deviations of operators constructed with the use of the Steklov averages and finite differences

DOI10.1007/S10958-012-0890-4zbMath1262.41010OpenAlexW1971227240MaRDI QIDQ690819

O. L. Vinogradov, V. V. Zhuk

Publication date: 29 November 2012

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

Full work available at URL: https://doi.org/10.1007/s10958-012-0890-4

zbMATH Keywords

modulus of continuitybest approximationsharp constantsSteklov functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary linear expressions (41A45) Best constants in approximation theory (41A44)

Related Items (1)

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

Cites Work

• Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts
• Sharp Kolmogorov-type inequalities for moduli of continuity and best approximations by trigonometric polynomials and splines
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