The Bezier variant of Kantorovitch operators

In the present paper, we define generalized Kantorovitch-type operators, for particular values our operators reduce to the well-known Szasz-Kantorovitch operators and Baskakov-Kantorovitch operators. We estimate the rate of convergence of the Bezier variant of these generalized operators for bounded variation functions. Here we also remark that for a particular value (c = 0) the second central moment was not estimated correctly in [1], which leads to the major error in the main results of [1]. (C) 2004 Elsevier Ltd. All rights reserved.