Rate of convergence for Szasz-Mirakyan-Durrmeyer operators with derivatives of bounded variation

DOI10.1016/j.amc.2007.10.036zbMath1151.41012OpenAlexW2040086252MaRDI QIDQ928109

Man Singh Beniwal, Prachi Goel, M. K. Gupta

Publication date: 11 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.10.036

zbMATH Keywords

total variationrate of convergencebounded variationSzasz-Mirakyan-Durrmeyer operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (7)

Approximation on a new class of Szász-Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties ⋮ Rate of convergence by Kantorovich-Szász type operators based on Brenke type polynomials ⋮ Bézier variant of Baskakov-beta-Stancu operators ⋮ Approximation degree of a Kantorovich variant of Stancu operators based on Polya-Eggenberger distribution ⋮ Unnamed Item ⋮ Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type ⋮ On the integrated Baskakov type operators

Cites Work

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• Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation
• Direct results for a certain family of summation-integral type operators
• Rate of convergence in simultaneous approximation for Szász--Mirakyan--Durrmeyer operators

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