Modified Stancu-type Dunkl generalization of Szasz- Kantorovich-operators

摘要

In this paper, we introduce a modification of the Szasz-Mirakjan-Kantorovichoperators as well as Stancu operators [9] (or a Dunkl generalization ofmodified Szasz-Mirakjan-Kantrovich operators [5]) which preserve the linearfunctions. These types of operators modification enables better errorestimation than the classical Dunkl Szasz-MirakjanKantrovich as well as Stancuoperators. We obtain some approximation results via well known Korovkin's typetheorem, weighted Korovkin's type theorem convergence properties by using themodulus of continuity and the rate of convergence of the operators forfunctions belonging to the Lipschitz class