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Article

Convergence of Generalized Lupaş-Durrmeyer Operators

1
Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri 185234, Jammu and Kashmir, India
2
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
3
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
4
Department of Computer Science and Information Engineering, Asia University, Taichung 41354, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 852; https://doi.org/10.3390/math8050852
Received: 9 May 2020 / Revised: 20 May 2020 / Accepted: 22 May 2020 / Published: 24 May 2020
(This article belongs to the Special Issue Applications of Inequalities and Function Analysis)
The main aim of this paper is to establish summation-integral type generalized Lupaş 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. View Full-Text
Keywords: generalized Lupaş operators; Beta function; Korovkin’s type theorem; convergence theorems; Voronovskaya type theorem generalized Lupaş operators; Beta function; Korovkin’s type theorem; convergence theorems; Voronovskaya type theorem
MDPI and ACS Style

Qasim, M.; Mursaleen, M.; Khan, A.; Abbas, Z. Convergence of Generalized Lupaş-Durrmeyer Operators. Mathematics 2020, 8, 852. https://doi.org/10.3390/math8050852

AMA Style

Qasim M, Mursaleen M, Khan A, Abbas Z. Convergence of Generalized Lupaş-Durrmeyer Operators. Mathematics. 2020; 8(5):852. https://doi.org/10.3390/math8050852

Chicago/Turabian Style

Qasim, Mohd, Mohammad Mursaleen, Asif Khan, and Zaheer Abbas. 2020. "Convergence of Generalized Lupaş-Durrmeyer Operators" Mathematics 8, no. 5: 852. https://doi.org/10.3390/math8050852

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