Approximation for a Summation-Integral Type Link Operators

Abstract

The present article deals with the general family of summation-integral type operators. Here, we propose the Durrmeyer variant of the generalized <span>Lupaş</span> operators considered by Abel and Ivan (General Math. 15 (1) (2007) 21-34) and study local approximation, Voronovskaja type formula, global approximation, Lipchitz type space and weighted approximation results. Also, we discuss the rate of convergence for absolutely continuous functions having a derivative equivalent with a function of bounded variation.