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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiable mappings

Muhammad Amer LATİF
Sabir HUSSAİN
Pages
1543–1555
Publication Date
2019-08-01
DOI
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AI Summary & Key Takeaways

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

It is expected that the results established in this paper contain previously established results asspecial cases.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a general identity involving a di¤erentiable mapping is established.
📊
Key Findings & Data:By using mathematical analysis, Hölder inequality and some auxiliary results, new generalized Hermite Hadamard type inequalities for differentiable harmonically-convex functions are established.
💡
Conclusion & Impact:It is expected that the results established in this paper contain previously established results asspecial cases.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard’s inequality · convex function · harmonic convex function

Abstract

In this paper, a general identity involving a di¤erentiable mapping is established. By using mathematical analysis, Hölder inequality and some auxiliary results, new generalized Hermite Hadamard type inequalities for differentiable harmonically-convex functions are established. It is expected that the results established in this paper contain previously established results asspecial cases.

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Cite This Article

LATİF, M. A., HUSSAİN, S. (2019). Some generalized Hermite-Hadamard type inequalities by using the harmonic convexity of differentiable mappings. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 68 - Sayı: 2, 1543–1555. https://ajindex.com/articles/746925

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References (10)

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