An exact inequality of Jackson-Chernykh type for spline approximations of periodic functions

DOI10.1134/S0037446619030066zbMath1459.41003OpenAlexW2950981904WikidataQ127702432 ScholiaQ127702432MaRDI QIDQ2332065

O. L. Vinogradov

Publication date: 1 November 2019

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446619030066

zbMATH Keywords

splinesJackson inequalityperiodic functionsexact constant

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)

A sharp Jackson-Chernykh type inequality for spline approximations on the line

Cites Work

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• The exact constant in the Jackson inequality in \(L^ 2\)
• An extremum problem for distribution functions
• Periodic spline orthonormal bases
• Approximation by periodic spline interpolants on uniform meshes
• On Jackson's inequality in \(L_2\)
• APPROXIMATION IN $ L_p$ BY POLYNOMIALS IN THE WALSH SYSTEM
• Extremal Problems for Positive-Definite Bandlimited Functions. II. Eventually Negative Functions

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