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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 35 Issue: 3

SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS

İmdat İşcan(Department of Mathematics, Giresun University)0000-0001-6749-0591
Huriye Kadakal(Institute of Science, Ordu University)0000-0002-0304-7192
Mahir Kadakal(Department of Mathematics, Giresun University)0000-0002-0240-918X
Pages
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Publication Date
2017-09-01
DOI
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AI Summary & Key Takeaways

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

Using this inequalities, we obtain some new inequalities connected with means.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions.
📊
Key Findings & Data:In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions.
💡
Conclusion & Impact:Using this inequalities, we obtain some new inequalities connected with means.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex function · quasi-convex function · Hölder Integral inequality and Power-Mean Integral inequality

Abstract

In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions. Using this inequalities, we obtain some new inequalities connected with means.

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Cite This Article

İşcan, İ., Kadakal, H., Kadakal, M. (2017). SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 35 Issue: 3. https://ajindex.com/articles/1345146

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