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Journals / Konuralp Journal of Mathematics / 2019 / Volume: 7 Issue: 2

Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Functions

Huriye Kadakal(Giresun Milli Eğitim Müdürlüğü)0000-0002-0304-7192
Kerim Bekar(Giresun University)0000-0002-7531-9345
Pages
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Publication Date
2019-10-15
DOI
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AI Summary & Key Takeaways

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

Some applications to special means of real numbers are also given.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex.
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Key Findings & Data:In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex.
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Conclusion & Impact:Some applications to special means of real numbers are also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex function · AH-convex function · Hermite-Hadamard and Bullen type inequality

Abstract

In this paper, after introducing a new integral identity, by using this integral identity we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose third derivatives in absolute value at certain power are arithmetically-harmonically convex. Some applications to special means of real numbers are also given.

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Cite This Article

Kadakal, H., Bekar, K. (2019). Inequalities of Hermite-Hadamard and Bullen Type for Three Times Differentiable $AH$-Convex Functions. Konuralp Journal of Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1521720

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References (11)

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