Convergence properties of generalized Lupaş-Kantorovich operators

Authors

  • M. Qasim Baba Ghulam Shah Badshah University, Rajouri-185234, Jammu and Kashmir, India
  • A. Khan Aligarh Muslim University, Aligarh 202002, India
  • Z. Abbas Baba Ghulam Shah Badshah University, Rajouri-185234, Jammu and Kashmir, India
  • M. Mursaleen Aligarh Muslim University, Aligarh 202002, India; China Medical University Hospital, China Medical University, Taichung, Taiwan
https://doi.org/10.15330/cmp.13.3.818-830

Keywords:

Lupaş operator, Kantorovich operator, Korovkin type theorem, convergence theorem, Voronovskaya type theorem
Published online: 2021-12-30

Abstract

In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$. For these new operators we give weighted approximation, Voronovskaya type theorem, quantitative estimates for the local approximation.

Article metrics
How to Cite
(1)
Qasim, M.; Khan, A.; Abbas, Z.; Mursaleen, M. Convergence Properties of Generalized Lupaş-Kantorovich Operators. Carpathian Math. Publ. 2021, 13, 818-830.