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Journals / Sakarya University Journal of Science / 2018 / Volume: 22 Issue: 6

KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

Sevda Yıldız(SİNOP ÜNİVERSİTESİ)0000-0002-4730-2271
Pages
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Publication Date
2018-12-01
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AI Summary & Key Takeaways

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

Also, we study an extension to non-positive operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators.
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Key Findings & Data:We give an application showing that the new result is stronger than classical ones.
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Conclusion & Impact:Also, we study an extension to non-positive operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Statistical e-modular convergence · double sequence · abstract Korovkin theorem

Abstract

In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators. We give an application showing that the new result is stronger than classical ones. Also, we study an extension to non-positive operators.

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Cite This Article

Yıldız, S. (2018). KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES. Sakarya University Journal of Science, Volume: 22 Issue: 6. https://doi.org/10.16984/saufenbilder.383770

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