Bivariate Cheney-Sharma operators on simplex

Authors : Gülen BAŞCANBAZ-TUNCA, Ayşegül ERENÇİN, Hatice Gül İNCE-ݝLARSLAN

Pages : 793-804

View : 15 | Download : 5

Publication Date : 2018-08-01

Article Type : Research Paper

Abstract :In this paper, we consider bivariate Cheney-Sharma operators which are not the tensor product construction. Precisely, we show that these operators preserve Lipschitz condition of a given Lipschitz continuous function $f$ and also the properties of the modulus of continuity function when $f$ is a modulus of continuity function.
Keywords : Lipschitz continuous function, modulus of continuity function, bivariate Cheney Sharma operators