Genuine modified Bernstein–Durrmeyer operators

Abstract The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss–Voronovskaya t...

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Bibliographic Details
Main Authors: Syed Abdul Mohiuddine, Tuncer Acar, Mohammed A. Alghamdi
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1693-z