Approximation by generalized Bernstein–Stancu operators

Abstract

In this paper, we investigate approximation properties of the Stancu type generalization of the -Bernsteinoperator. We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity.Also, we present Voronovskaya and Grüss–Voronovskaya type asymptotic results for these operators. Finally, the studycontains numerical considerations regarding the constructed operators based on Maple algorithms.