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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 4

Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence

Sevda YILDIZ
Antonio BOCCUTO
Kamil DEMİRCİ
Pages
1238–1249
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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

We give some examples, in which we show that our results are strictgeneralizations of the classical ones.

📌 3 Key Takeaways

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Objective & Hypothesis:We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of anet of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point,belonging to the domain of the involved functions.
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Key Findings & Data:We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of anet of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point,belonging to the domain of the involved functions.
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Conclusion & Impact:We give some examples, in which we show that our results are strictgeneralizations of the classical ones.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We prove a Korovkin-type approximation theorem using abstract relative uniform filter convergence of anet of functions with respect to another fixed filter, a particular case of which is that of all neighborhoods of a point,belonging to the domain of the involved functions. We give some examples, in which we show that our results are strictgeneralizations of the classical ones.

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Cite This Article

YILDIZ, S., BOCCUTO, A., DEMİRCİ, K. (2022). Abstract Korovkin-type theorems in the filter setting with respect to relative uniform convergence. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 4, 1238–1249. https://ajindex.com/articles/607895

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