Bivariate Cheney-Sharma operators on simplex

Year 2018, Volume: 47 Issue: 4, 793 - 804, 01.08.2018

Gülen Başcanbaz-tunca , Ayşegül Erençin , Hatice Gül İnce-ilarslan

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

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