Convergence of Generalized Lupaş-Durrmeyer Operators

The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on <inline-formula> <math display="inline"> <semantics> <mi>μ</mi> </semantics> </math> </inline-fo...

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Bibliographic Details
Main Authors: Mohd Qasim, Mohammad Mursaleen, Asif Khan, Zaheer Abbas
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/5/852
Description
Summary:The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on <inline-formula> <math display="inline"> <semantics> <mi>μ</mi> </semantics> </math> </inline-formula> having some properties. Primarily, for these new operators, we calculate moments and central moments, weighted approximation is discussed. Further, Voronovskaya type asymptotic theorem is proved. Finally, quantitative estimates for the local approximation is taken into consideration.
ISSN:2227-7390