APPROXIMATION BY LUPAŞ-STANCU OPERATORS BASED ON q-INTEGER

APPROXIMATION BY LUPAŞ-STANCU OPERATORS BASED ON q-INTEGER

M. Qasim, Z. Abbas

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Abstract

The purpose of this paper is to introduce a Stancu type generalization of the Lupas operators based on the q-integers. We investigate 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.

Keywords

Lupas-Stancu operators; q analogue; Peetre's K-functional; Korovkin's type theorem; Convergence theorems.