Approximation behaviour of generalized Baskakov-Durrmeyer-Schurer operators-Reference-Cited by-同舟云学术

Approximation behaviour of generalized Baskakov-Durrmeyer-Schurer operators

Published:2024-06-30 Issue:1 Volume:51 Page:90-105
ISSN:1223-6934
Container-title:Annals of the University of Craiova Mathematics and Computer Science Series
language:
Short-container-title:AUCMCS

Author:

Rao Nadeem^ORCID, ,Raiz Mohd^ORCID,Mishra Vishnu Narayan^ORCID, ,

Abstract

The goal of this manuscript is to introduce a new sequence of generalized-Baskakov Durrmeyer-Schurer Operators. Further, basic estimates are calculated. In the subsection sequence, rapidity of convergence and order of approximation are studied in terms of first and second-order modulus of continuity. We prove a Korovkin-type approximation theorem and obtain the rate of convergence of these operators. Moreover, local and global approximation properties are discussed in different functional spaces. Lastly, A-statistical approximation results are presented.

Publisher

University of Craiova

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