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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 4

Bivariate Cheney-Sharma operators on simplex

Gülen Başcanbaz-tunca
Ayşegül Erençin
Hatice Gül İnce-ilarslan
Pages
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Publication Date
2018-08-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider bivariate Cheney-Sharma operators which are not the tensor product construction.
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Key Findings & Data:In this paper, we consider bivariate Cheney-Sharma operators which are not the tensor product construction.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lipschitz continuous function · modulus of continuity function · bivariate Cheney-Sharma operators

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.

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Cite This Article

Başcanbaz-tunca, G., Erençin, A., İnce-ilarslan, H. G. (2018). Bivariate Cheney-Sharma operators on simplex. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 4. https://ajindex.com/articles/1402904

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