Preserving properties of some Szasz-Mirakyan type operators

Abstract

For a family of Szasz-Mirakyan type operators we prove that they preserve convex-type functions and that a monotonicity property verified by Cheney and Sharma in the case Szasz-Mirakyan operators holds for the variation study here. We also verify that several modulus of continuity are preserved.

Keywords

• Szasz-Mirakyan type operators
• positive linear operator
• shape preserving properties