Approximation by Generalized Positive Linear Kantorovich Operators

Abstract

In the present article, we introduce generalized positive linear-Kantorovich operators depending on P\'olya-Eggenberger distribution (PED) as well as inverse P\'olya-Eggenberger distribution (IPED) and for these operators, we study  some approximation properties like local approximation theorem, weighted approximation and estimation of rate of convergence for absolutely continuous functions having derivatives of bounded variation.