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.