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Journals / Turkish Journal of Science / 2023 / Cilt: 8 Sayı: 1

New General Inequalities For Exponential Type Convex Function

Çetin Yıldız(ATATURK UNIVERSITY)0000-0002-8302-343X
Emre Bakan(ATATURK UNIVERSITY)0000-0002-6881-5711
Hüseyin Dönmez(ATATURK UNIVERSITY)0000-0002-6799-1270
Pages
11–18
Publication Date
2023-05-03
DOI
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AI Summary & Key Takeaways

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

We use these Riemann-Liouville fractional integrals to establish a new integral inequality for exponential type convex function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the concept of an exponential type convex function.
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Key Findings & Data:We establish new integral inequalities of the Hermite-Hadamard type by using the Power-Mean and Hölder Inequalities.
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Conclusion & Impact:We use these Riemann-Liouville fractional integrals to establish a new integral inequality for exponential type convex function.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex function · Exponential type convexity · Hermite-Hadamard inequalities

Abstract

In this paper, we introduce the concept of an exponential type convex function. We establish new integral inequalities of the Hermite-Hadamard type by using the Power-Mean and Hölder Inequalities. Additionally, we give the Riemann-Liouville fractional integrals definitions. We use these Riemann-Liouville fractional integrals to establish a new integral inequality for exponential type convex function.

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Cite This Article

Yıldız, Ç., Bakan, E., Dönmez, H. (2023). New General Inequalities For Exponential Type Convex Function. Turkish Journal of Science, Cilt: 8 Sayı: 1, 11–18. https://ajindex.com/articles/938096

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