1. Approximation by modified Lupaş operators based on (p; q)--integers.
- Author
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Khan, Asif, Abbas, Zaheer, Qasim, Mohd, and Mursaleen, M.
- Subjects
- *
INTEGERS , *QUANTUM operators , *DIOPHANTINE approximation - Abstract
The purpose of this paper is to introduce a new modification of Lupas 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-Lupas 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. [ABSTRACT FROM AUTHOR]
- Published
- 2021