Approximation by Jakimoski-Leviatan-Stancu-Durrmeyer type operators

Abstract

In the present paper, we introduce Stancu type modication of Jakimoski-Leviatan-Durrmeyer
operators. First, we estimate moments of these operators. Next, we study the problem of
simultaneous approximation by these operators. An upper bound for the approximation to rth
derivative of a function by these operators is established. Furthermore, we obtain A-statistical
approximation properties of these operators with the help of universal Korovkin type statistical
approximation theorem.