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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2021, том 12, номер 2, страницы 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

Аннотация: 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.

Ключевые слова и фразы: Lupaş operators, post quantum analogue, $q$ analogue, Peetre's $K$-functional, Korovkin type theorem, convergence theorems.

MSC: 41A10, 41A25, 41A36

Поступила в редакцию: 18.04.2019
Исправленный вариант: 19.02.2020

Язык публикации: английский

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



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