Journals / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 2

On Non-Existence of Korovkin's Theorem in the Space of Lp-locally Integrable Functions

Pages
207–214
Publication Date
2002-02-01
DOI
—
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AI Summary & Key Takeaways

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

It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.
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Key Findings & Data:It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.
💡
Conclusion & Impact:It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Linear positive operators · Korovkin-type theorem · Weighted Lp(loc) space

Abstract

It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.

Özet

It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.

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Cite This Article

GADJIEV, A. D. (2002). On Non-Existence of Korovkin's Theorem in the Space of Lp-locally Integrable Functions. Turkish Journal of Mathematics, Cilt: 26 - Sayı: 2, 207–214. https://ajindex.com/articles/723442

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