On boundedness inequalities in the variation of certain Schurer-type operators

DOI10.3176/PROC.2017.1.01zbMath1384.41017OpenAlexW2593527435MaRDI QIDQ4608991

Tarmo Metsmägi, Andi Kivinukk

Publication date: 29 March 2018

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2017.1.01

zbMATH Keywords

approximation theoryabsolutely continuous functionsvariation detracting propertyboundedness inequalitiesSchurer-type operators

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximation by positive operators (41A36)

Cites Work

• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Variation diminishing properties of Bernstein polynomials on triangles
• Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals
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