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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 4

STATISTICAL FUZZY APPROXIMATION TO FUZZY DIFFERENTIABLE FUNCTIONS BY FUZZY LINEAR OPERATORS

Oktay DUMAN
Pages
497–514
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

So, we mainly use the notion of A-statistical convergence from summability theory instead of the usual convergence.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we obtain fuzzy approximations to fuzzy differentiable functions by means of fuzzy linear operators whose positivity condition and classical limits fail.
📊
Key Findings & Data:In order to get more powerful results than the classical approach we investigate the effects of matrix summability methods on the fuzzy approximation.
💡
Conclusion & Impact:So, we mainly use the notion of A-statistical convergence from summability theory instead of the usual convergence.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Korovkin theorem · Statistical convergence · Fuzzy approximation

Abstract

In this paper, we obtain fuzzy approximations to fuzzy differentiable functions by means of fuzzy linear operators whose positivity condition and classical limits fail. In order to get more powerful results than the classical approach we investigate the effects of matrix summability methods on the fuzzy approximation. So, we mainly use the notion of A-statistical convergence from summability theory instead of the usual convergence.

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Cite This Article

DUMAN, O. (2022). STATISTICAL FUZZY APPROXIMATION TO FUZZY DIFFERENTIABLE FUNCTIONS BY FUZZY LINEAR OPERATORS. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 4, 497–514. https://ajindex.com/articles/530672

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