Approximation by generalized Baskakov-Durrmeyer-Stancu type operators

Abstract

In this paper, we introduce Stancu type modification of generalized Baskakov-Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence.