Convergence of Generalized Lupa?-Durrmeyer Operators

Mohd Qasim, Mohammad Mursaleen, Asif Khan and Zaheer Abbas
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Mohd Qasim: Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri 185234, Jammu and Kashmir, India
Mohammad Mursaleen: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Asif Khan: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Zaheer Abbas: Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri 185234, Jammu and Kashmir, India

Mathematics, 2020, vol. 8, issue 5, 1-12

Abstract: The main aim of this paper is to establish summation-integral type generalized Lupa? operators with weights of Beta basis functions which depends on μ 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.

Keywords: generalized Lupa? operators; Beta function; Korovkin’s type theorem; convergence theorems; Voronovskaya type theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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