Approximation of Functions by Lupas-Kantorovich- Stancu Type Operators based on Polya Distribution

Authors

Lakshmi Narayan Mishra, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, IndiaFollow
Alok Kumar, Department of Mathematics, Dev Sanskriti Vishwavidyalaya, Haridwar 249 411, Uttarakhand, IndiaFollow
Vishnu Narayan Mishra, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887, Madhya Pradesh, IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper, we introduce a two parameter generalization of Lupas-Kantorovich operators based on Polya distribution. We obtain the moments of the operators by deriving a recurrence relation and then prove and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160213

Recommended Citation

Narayan Mishra, Lakshmi; Kumar, Alok; and Narayan Mishra, Vishnu (2022) "Approximation of Functions by Lupas-Kantorovich- Stancu Type Operators based on Polya Distribution," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 13.
DOI: http://dx.doi.org/10.18576/amis/160213
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/13