Rate of convergence for the Bézier variant of the Bleimann--Butzer--Hahn operators

DOI10.1016/j.aml.2004.08.014zbMath1084.41010OpenAlexW1974400132MaRDI QIDQ812755

Vijay Gupta, Hari M. Srivastava

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.08.014

zbMATH Keywords

total variationrate of convergenceLebesgue-Stieltjes integralStirling numbers of second kindfunctions of bounded variationdecomposition techniquebasis functionspositive linear operatorsBleimann-Butzer-Hahn operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

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Cites Work

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• A certain family of summation-integral type operators
• A note on a Bernstein-type operator of Bleimann, Butzer, and Hahn
• On the rate of convergence of Fourier-Legendre series of functions of bounded variation
• Bounds for Bernstein basis functions and Meyer-König and Zeller basis functions
• On the asymptotic approximation with bivariate operators of Bleimann, Butzer and Hahn