A Short Note on a q-Analog of Modified Stancu—Beta Operators

Abstract

This paper deals with the modified q-Stancu—Beta operators and investigates statistical approximation theorems for these operators with the help of a Korovkin-type approximation theorem. The rates of statistical convergence are determined by means of the modulus of continuity and a Lipschitz-type maximal function. The results show that the rates of convergence of the operators under consideration are at least as fast as those of the classical Stancu-Beta operators.