Statistical approximation properties of q-Balazs-Szabados-Stancu operators

Abstract

In this study, the q-Balazs-Szabados-Stancu operators are defined and investigated the Korovkin type statistical approximation properties of these operators. The order of statistical approximation is also examined by means of modulus of continuity and the elements of Lipschitz class functionals. Finally, an r-th order generalization of these operators is defined and its some statistical approximation results are obtained.