Sharp Jackson type inequalities for spline approximation on the axis

DOI10.1007/s10476-017-0102-zzbMath1399.41012OpenAlexW2589701779MaRDI QIDQ1705782

A. V. Gladkaya, L. Vinogradov

Publication date: 16 March 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-017-0102-z

zbMATH Keywords

splinemodulus of continuityJackson-type inequalityAkhiezer-Krein-Favard-type operator

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Spline approximation (41A15) Best constants in approximation theory (41A44)

Related Items (1)

Sharp estimates of linear approximations by nonperiodic splines in terms of linear combinations of moduli of continuity

Cites Work

• Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
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