Approximation by Kantorovich type operators

Abstract

We study approxiamtion properties of the Kantorovich type operators associated with the Szasz-Mirakyan and Baskakov operators. We prove that the approximation order of smoothness functions by considered operators is better than for the classical Szasz-Mirakyan and Baskakov operators given in [2]. Our paper is motivated by results obtained in [2], [6], [9] and [12].