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Journals / Natural and Applied Sciences Journal / 2023 / Cilt: 6 Sayı: 2

SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR

Sinan Aslan(AGRI IBRAHIM CECEN UNIVERSITY)0000-0001-5970-1926
Pages
24–30
Publication Date
2023-12-30
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AI Summary & Key Takeaways

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

The main results have potential to usage in inequality theory.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this note, we have established some new integral inequalities for product of two integrable functions by using Young inequality with a wellknown classical inequality via Caputo-Fabrizio fractional integral operators.
📊
Key Findings & Data:Then, we have given some special cases of the main findings.
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Conclusion & Impact:The main results have potential to usage in inequality theory.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Caputo-Fabrizio fractional integral operator · Young inequality · H¨older inequality.

Abstract

In this note, we have established some new integral inequalities for product of two integrable functions by using Young inequality with a wellknown classical inequality via Caputo-Fabrizio fractional integral operators. Then, we have given some special cases of the main findings. The main results have potential to usage in inequality theory.

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Cite This Article

Aslan, S. (2023). SOME NEW INTEGRAL INEQUALITIES VIA CAPUTO-FABRIZIO FRACTIONAL INTEGRAL OPERATOR. Natural and Applied Sciences Journal, Cilt: 6 Sayı: 2, 24–30. https://doi.org/10.38061/idunas.1318116

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