JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.235, ss.4816-4824, 2011 (SCI İndekslerine Giren Dergi)
In this work, we state a Chlodovsky variant of a multivariate beta operator to be called hereafter the multivariate beta-Chlodovsky operator. We show that the multivariate beta-Chlodovsky operator can preserve properties of a general function of modulus of continuity and also the Lipschitz constant of a Lipschitz continuous function. Furthermore we set an H-omega (Delta) class by the function of modulus of continuity omega and give some results for functions belonging to H-omega (Delta). (C) 2010 Elsevier B.V. All rights reserved.