Higher order Kantorovich-type Szasz-Mirakjan operators

Abstract

In this paper, we define new higher order Kantorovich-type Szasz-Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a Voronovskaja-type theorem. We also prove weighted approximation theorems for these new operators.