Approximation properties of real and complex Post-Widder operators based on $q$-integers

Abstract

In this paper, we study the statistical approximation properties of real and complex Post-Widder operators based on q-integers. We also obtain a Voronovskaya-type formula in statistical sense for these operators.

A Generalization of Post-Widder Operators Based on q-Integers

“…We point out that our q-generalization P n,q (f ) , n ∈ N, is different by q-analogue of the Post-Widder operators, recently introduced in [22] as follows.…”