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Journals / Fundamental Journal of Mathematics and Applications / 2026 / Volume: 7 Issue: 1

A Note On Kantorovich Type Operators Which Preserve Affine Functions

Didem Aydın Arı(KIRIKKALE ÜNİVERSİTESİ)0000-0002-5527-8232
Gizem Uğur Yılmaz(KIRIKKALE UNIVERSITY)0000-0002-5390-2572
Pages
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Publication Date
2024-03-31
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AI Summary & Key Takeaways

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

When the moments of the operator are known, convergence results with the moments obtained for the Kantorovich form of the same operator is given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The authors present an integral widening of operators which preserve affine functions.
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Key Findings & Data:Influenced by the operators which preserve affine functions, we define the integral extension of these operators.
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Conclusion & Impact:When the moments of the operator are known, convergence results with the moments obtained for the Kantorovich form of the same operator is given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Weighted modulus of continuity · rate of convergence · Voronovskaya Theorem

Abstract

The authors present an integral widening of operators which preserve affine functions. Influenced by the operators which preserve affine functions, we define the integral extension of these operators. We give quantitative type theorem using weighted modulus of continuity. Withal quantitative Voronovskaya theorem is aquired by classical modulus of continuity. When the moments of the operator are known, convergence results with the moments obtained for the Kantorovich form of the same operator is given.

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Cite This Article

Arı, D. A., Yılmaz, G. U. (2024). A Note On Kantorovich Type Operators Which Preserve Affine Functions. Fundamental Journal of Mathematics and Applications, Volume: 7 Issue: 1. https://doi.org/10.33401/fujma.1424382

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