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Journals / Journal of Mathematical Sciences and Modelling / 2019 / Cilt: 2 Sayı: 3

Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Selma ALTUNDAĞ
Bayram SÖZBİR
Pages
198–204
Publication Date
2019-12-26
DOI
—
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AI Summary & Key Takeaways

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

Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion of αβ−statistical convergence.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts.
📊
Key Findings & Data:Moreover, statistical convergence and αβ− statistical convergence of double sequences are compared under some certain assumptions.
💡
Conclusion & Impact:Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion of αβ−statistical convergence.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:αβ-statistical convergence · Double sequences · Korovkin type theorem

Abstract

In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double sequences are compared under some certain assumptions. Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion of αβ−statistical convergence.

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Cite This Article

ALTUNDAĞ, S., SÖZBİR, B. (2019). Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence. Journal of Mathematical Sciences and Modelling, Cilt: 2 Sayı: 3, 198–204. https://ajindex.com/articles/908013

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