Polynomial operators for one-sided \(L_p\)-approximation to Riemann integrable functions

DOI10.1186/1029-242X-2014-494zbMath1342.41006WikidataQ59321170 ScholiaQ59321170MaRDI QIDQ260218

José María Quesada, José A. Adell, Jorge Bustamante González

Publication date: 21 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

one-sided approximationoperators for one-sided approximationRiemann integrable functions

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

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• Polynomial operators for one-sided approximation to functions in \(W^r_p [0,1\)]
• Best one-sided \(L_1\) approximation to the Heaviside and sign functions
• Operators for one-side approximation by algebraic polynomials
• Jackson-type theorems for best one-sided approximations by trigonometrical polynomials and splines
• One-sided approximation of a step by algebraic polynomials in the mean
• Some converse results on onesided approximation: Justifications

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