Best \(L^1\) approximation of truncated functions, Whitney-type and Bohr-Favard-type inequalities

DOI10.1007/s10474-014-0391-7zbMath1324.41034OpenAlexW2016768714MaRDI QIDQ397023

Jorge Bustamante González

Publication date: 14 August 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0391-7

zbMATH Keywords

Chebyshev polynomials of second kindbest constantsbest \(L^1\) approximationBohr-Favard-type inequalitytruncated functionWhitney-type inequality

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Best constants in approximation theory (41A44)

Related Items (1)

Quasi orthogonal Jacobi polynomials and best one-sided \(L_1\) approximation to step functions

Cites Work

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• Best one-sided \(L_1\) approximation to the Heaviside and sign functions
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
• One-sided approximation of a step by algebraic polynomials in the mean
• APPROXIMATION IN THE MEAN OF CLASSES OF DIFFERENTIABLE FUNCTIONS BY ALGEBRAIC POLYNOMIALS
• Best Possible Approximation Constants

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