Convergence results for Lupaş-Kantorovich operators involving Pólya distribution

Abstract

In this paper, we investigate the Lupaş-Kantorovich operators with the Pólya distribution introduced by Agrawal et al. in 2016. Our focus is on understanding certain approximation properties. Specifically, we examine a Voronovskaya-type result related to second moduli of continuity, the Chebyshev-Grüss inequality and two Grüss-Voronovskaya theorems for Lupaş-Kantorovich operators.