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.

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