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Journals / Hacettepe Journal of Mathematics and Statistics / 2022 / Cilt: 51 - Sayı: 4

Approximation by statistical convergence with respect to power series methods

Nilay ŞAHİN BAYRAM
Sevda YILDIZ
Pages
1108–1120
Publication Date
2022-08-01
DOI
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AI Summary & Key Takeaways

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

In the final section we summarize these results to emphasize the importance of the study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions.
📊
Key Findings & Data:We study certain rate of convergence related to this method.
💡
Conclusion & Impact:In the final section we summarize these results to emphasize the importance of the study.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Korovkin type approximation · statistical convergence with respect to power series method · rate of convergence

Abstract

In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation theorem. We study certain rate of convergence related to this method. In the final section we summarize these results to emphasize the importance of the study.

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Cite This Article

BAYRAM, N. Ş., YILDIZ, S. (2022). Approximation by statistical convergence with respect to power series methods. Hacettepe Journal of Mathematics and Statistics, Cilt: 51 - Sayı: 4, 1108–1120. https://ajindex.com/articles/669182

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