ON (p; q)-ANALOG OF STANCU-BETA OPERATORS AND THEIR APPROXIMATION PROPERTIES

M. MURSALEEN, TAQSEER KHAN

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Abstract

In this paper we introduce the (p; q) -analogue of the Stancu-Beta operators and call them as the (p; q)-Stancu-Beta operators. We study approximation properties of these operators based on the Korovkin's approximation theorem and also study some direct theorems. Also, we study the Voronovskaja type estimate for these operators.

Keywords

(p; q)-calculus; Stancu-Beta operators; modulus of continuity; positive linear operators; Korovkin type approximation theorem; Lipschitz class of functions.