On the modified Szász-Chlodovsky operator on weighted spaces

Abstract

In this paper, we suggest the modified Szász-Chlodovsky operators. Also, we establish some results in the weighted space of continuous functions defined on R+. Moreover, the Voronovskaja type theorem and the rate of convergence are provided in detailed proofs. Furthermore, we substantiate some shape preserving properties of the Szász-Chlodovsky operators for instance the monotonicity and the convexity. Lastly, we associate this modified
operator with its classical counter part to display that the modified one has better properties.