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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 15 Issue: 1

On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence

Tuğba Yurdakadim(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)0000-0003-2522-6092
Emre Taş(KIRŞEHİR AHİ EVRAN ÜNİVERSİTESİ)0000-0002-6569-626X
Pages
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Publication Date
2023-06-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We have also presented an example to illustrate the strength of our theorem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:An operator version of the Korovkin theorem has recently been obtained by D.
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Key Findings & Data:With the motivation of this result, we have extended it by using a more powerful convergence which also includes ordinary convergence.
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Conclusion & Impact:We have also presented an example to illustrate the strength of our theorem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Korovkin type approximation · statistical convergence · positive linear operators

Abstract

An operator version of the Korovkin theorem has recently been obtained by D. Popa. With the motivation of this result, we have extended it by using a more powerful convergence which also includes ordinary convergence. We have also presented an example to illustrate the strength of our theorem.

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Cite This Article

Yurdakadim, T., Taş, E. (2023). On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 1. https://doi.org/10.47000/tjmcs.1221861

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