On a Kantorovich variant of (p,q)-Szasz-Mirakjan operators

TL;DR

This paper introduces a Kantorovich variant of (p,q)-Szasz-Mirakjan operators, establishing their moments, convergence, and approximation properties using modulus of continuity.

Contribution

It proposes a new Kantorovich-type (p,q)-Szasz-Mirakjan operator and analyzes its moments, convergence, and approximation behavior, extending existing operator theory.

Findings

Derived moments using recurrence relations

Proved basic convergence theorem

Studied local and weighted approximation properties

Abstract

In the present paper we propose a Kantorovich variant of (p,q)-analogue of Szasz-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation as well as weighted approximation properties of these new operators in terms of modulus of continuity are studied.