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Journals / Eastern Anatolian Journal of Science / 2026 / Volume: 9 Issue: 1

SOME NOVEL FRACTIONAL INTEGRAL INEQUALITIES FOR DIFFERENT KINDS OF CONVEX FUNCTIONS

Sinan Aslan(AGRI IBRAHIM CECEN UNIVERSITY)0000-0001-5970-1926
Pages
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Publication Date
2023-06-30
DOI
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AI Summary & Key Takeaways

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

We have used the properties of Caputo-Fabrizio fractional operator, definition of different kinds of convex functions and elemantery analysis methods.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, some novel integral inequalities for different kinds of convex functions have been proved by using Caputo-Fabrizio fractional integral operators.
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Key Findings & Data:The findings includes several new integral inequalities h-convex functions, s-convex functions in the second sense.
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Conclusion & Impact:We have used the properties of Caputo-Fabrizio fractional operator, definition of different kinds of convex functions and elemantery analysis methods.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Caputo-Fabrizio fractional integral operator · h−convex functions · s−convex functions.

Abstract

In this paper, some novel integral inequalities for different kinds of convex functions have been proved by using Caputo-Fabrizio fractional integral operators. The findings includes several new integral inequalities h-convex functions, s-convex functions in the second sense. We have used the properties of Caputo-Fabrizio fractional operator, definition of different kinds of convex functions and elemantery analysis methods.

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Cite This Article

Aslan, S. (2023). SOME NOVEL FRACTIONAL INTEGRAL INEQUALITIES FOR DIFFERENT KINDS OF CONVEX FUNCTIONS. Eastern Anatolian Journal of Science, Volume: 9 Issue: 1. https://ajindex.com/articles/1475641

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