Sharp Kolmogorov-type inequalities for moduli of continuity and best approximations by trigonometric polynomials and splines

DOI10.1023/B:JOTH.0000042445.77567.18zbMath1078.42001MaRDI QIDQ1781760

O. L. Vinogradov, V. V. Zhuk

Publication date: 28 June 2005

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

zbMATH Keywords

splinestrigonometric polynomialsbest approximationKolmogorov-type inequalityAkhiezer-Krein-Favard constanttranslation invariant seminorm

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) Spline approximation (41A15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

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 ⋮ 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

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