On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators

Abstract

Our purpose is to introduce a two-parametric (p, q)-analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem. We also obtain the Voronovskaya-type estimate for these operators. Furthermore, we study the weighted approximation results and pointwise estimates for these operators. MSC: 40A30; 41A10; 41A25; 41A36

$(p,q)$-Generalization of Szász–Mirakjan operators and their approximation properties

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