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On a Chlodovsky variant of a multivariate beta operator

2011-06-15
TUNCA, GÜLEN BAŞCANBAZ
Tuncer, Yalcin
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).