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Convergence of Generalized Lupaş-Durrmeyer Operators

Author

Listed:
  • 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
    Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    Department of Computer Science and Information Engineering, Asia University, Taichung 41354, 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)

Abstract

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.

Suggested Citation

  • Mohd Qasim & Mohammad Mursaleen & Asif Khan & Zaheer Abbas, 2020. "Convergence of Generalized Lupaş-Durrmeyer Operators," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:852-:d:362259
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