Modified Stancu type Dunkl generalization of Szász–Kantorovich operators

Abstract

In this paper, we introduce a modification of the Szasz–Mirakjan–Kantorovich operators as well as Stancu operators (or a Dunkl generalization of modified Szasz–Mirakjan–Kantrovich operators) which preserve the linearity. This type of modification enables better error estimation on the interval $$[1/2,\infty )$$ rather than the classical Dunkl Szasz–Mirakjan–Kantrovich as well as Stancu operators. We obtain some approximation results via well known Korovkin’s type theorem. We also calculate the rate of convergence of operators by means of modulus of continuity and Lipschitz type maximal functions.