Convergence analysis of semi-exponential Post-Widder operators

In the present article, we provide a recurrence relation for the semi-exponential Post-Widder operators (1.1) and estimate the moments for these operators. The next section discusses some convergence results in the Lipschitz-type space and estimates the rate of convergence with the help of the Ditzian-Totik modulus of smoothness and weighted modulus of continuity. At last, we estimate the rate of convergence for the functions whose derivatives are of bounded variation.