Bivariate Cheney-Sharma operators on simplex

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Bascanbaz-Tunca G., ERENÇİN A., İNCE İLARSLAN H. G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.47, no.4, pp.793-804, 2018 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 47 Issue: 4
• Publication Date: 2018
• Doi Number: 10.15672/hjms.2017.468
• Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.793-804
• Gazi University Affiliated: Yes

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.