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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.
Поступила в редакцию: 18.04.2019 Исправленный вариант: 19.02.2020
Образец цитирования:
A. Khan, Z. Abbas, M. Qasim, M. Mursaleen, “Approximation by modified Lupaş-Stancu operators based on $(p, q)$-integers”, Eurasian Math. J., 12:2 (2021), 39–51
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj402 https://www.mathnet.ru/rus/emj/v12/i2/p39
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Страница аннотации: | 108 | PDF полного текста: | 64 | Список литературы: | 19 |
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