RUS  ENG
Full version
JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2021 Volume 12, Number 2, Pages 39–51 (Mi emj402)

Approximation by modified Lupaş-Stancu operators based on $(p, q)$-integers

A. Khana, Z. Abbasb, M. Qasimb, M. Mursaleenac

a Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
b Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri-185234, Jammu and Kashmir, India
c Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

Abstract: The purpose of this paper is to construct a new class of Lupaş operators in the frame of post quantum setting. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the concept of the $K$-functional and modulus of continuity, also give a convergence theorem for the Lipschitz continuous functions.

Keywords and phrases: Lupaş operators, post quantum analogue, $q$ analogue, Peetre's $K$-functional, Korovkin type theorem, convergence theorems.

MSC: 41A10, 41A25, 41A36

Received: 18.04.2019
Revised: 19.02.2020

Language: English

DOI: 10.32523/2077-9879-2021-12-2-39-51



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024