A new generalization of Kantorovich operators having three parameters

Abstract

This paper mainly deals with Kantorovich variant of generalized Stancu operators with three parameters. Initially, we exhibit approximation theorems in the space of real valued continuous functions on compact interval and next Lp-space. Additionally, we obtain some estimates for the rate of convergence by making use of modulus of continuity and Lp modulus of smoothness of the first order. Ultimately, we yield some graphical examples showing the relevance of the results.