Approximation by modified Lupa¸s operators based on (p, q)–integers

Authors

Keywords:

Lupa¸s operators; Post quantum analogue; q analogue; Peetre’s K-functional; Korovkin’s type theorem; Convergence theorems.

Abstract

The purpose of this paper is to introduce a new modification of Lupa¸s operators in the frame of post quantum setting and to investigate their approximation properties. First using the relations between q-calculus and post quantum calculus, the post quantum analogue of operators constructed will be linear and positive but will not follow Korovkin’s theorem. Hence a new modification of q-Lupa¸s operators is constructed which will preserve test functions. Based on these modification of operators, approximation properties have been investigated. Further, the rate of convergence of operators by mean of modulus of continuity and functions belonging to the Lipschitz class as well as Peetre’s K-functional are studied.

Downloads

Published

2021-10-07

How to Cite

Asif Khan, Zaheer Abbas, Mohd Qasim, & M. Mursaleen. (2021). Approximation by modified Lupa¸s operators based on (p, q)–integers. Journal of Computational Analysis and Applications (JoCAAA), 29(5), 922–933. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/203

Issue

Section

Articles

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.