Some approximation results for Durrmeyer operators

DOI10.1016/j.amc.2010.12.026zbMath1214.41009OpenAlexW2040874549MaRDI QIDQ628910

Neha Bhardwaj, Naokant Deo

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.026

zbMATH Keywords

Durrmeyer type operatorsapproximation of continuous functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (11)

An approach to preserve functions with exponential growth by using modified Lupaş-Kantrovich operators ⋮ Convergence and Difference Estimates Between Mastroianni and Gupta Operators ⋮ Approximation by modified Jain-Baskakov operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Jain-Durrmeyer operators associated with the inverse Pólya-Eggenberger distribution ⋮ On the degree of approximation by modified Baskakov operators ⋮ A better error estimation on Balázs operators ⋮ On modification of certain exponential type operators preserving constant and \(e^{-x}\) ⋮ STATISTICAL CONVERGENCE FOR GENERAL BETA OPERATORS ⋮ Degree of approximation by hybrid operators

Cites Work

• King type modification of Meyer-König and Zeller operators based on the \(q\)-integers
• On simultaneous approximation by modified Lupas operators
• Positive linear operators which preserve \(x^2\)
• Direct result on exponential-type operators
• Direct result on the Durrmeyer variant of Beta operators
• A note on equivalent theorem for Beta operators
• Local approximation results for Szász-Mirakjan type operators
• A note on improved estimations for integrated Szász-Mirakyan operators
• ABOUT SOME LINEAR AND POSITIVE OPERATORS DEFINED BY INFINITE SUM
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