Approximation Properties of p,q-Szász-Mirakjan-Durrmeyer Operators

Abstract

In this article, we introduce a new Durrmeyer-type generalization of p,q-Szász-Mirakjan operators using the p,q-gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja-type asymptotic formula is investigated and point-wise estimates of these operators are studied. Also, some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K-functional. Finally, the rate of convergence and weighted approximation of these operators are presented.