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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 5

Characterization of Absolute and Uniform Continuity

Oktay DUMAN
İsmail ASLAN
Pages
1550–1565
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

At the end of the paper, we discuss some special cases and applications.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, by considering nonlinear integral operators and using their approximations via regular summability methods, we obtain characterizations for some function spaces including the space of absolutely continuous functions, the space of uniformly continuous functions, and their other variants.
📊
Key Findings & Data:We observe that Bell-type summability methods are quite effective to generalize and improve some related results in the literature.
💡
Conclusion & Impact:At the end of the paper, we discuss some special cases and applications.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Summability process · absolute continuity · uniform continuity

Abstract

In the present paper, by considering nonlinear integral operators and using their approximations via regular summability methods, we obtain characterizations for some function spaces including the space of absolutely continuous functions, the space of uniformly continuous functions, and their other variants. We observe that Bell-type summability methods are quite effective to generalize and improve some related results in the literature. At the end of the paper, we discuss some special cases and applications.

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Cite This Article

DUMAN, O., ASLAN, İ. (2022). Characterization of Absolute and Uniform Continuity. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 5, 1550–1565. https://ajindex.com/articles/529683

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