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Approximation by modified Lupaş-Stancu operators based on \((p, q)\)-integers. (English) Zbl 1488.41054

Summary: 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.

MSC:

41A36 Approximation by positive operators
41A10 Approximation by polynomials
41A25 Rate of convergence, degree of approximation
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