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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 5

The Hermite-Hadamard inequalities for $p$-convex functions

Zeynep Eken(AKDENIZ UNIVERSITY)0000-0002-8939-4653
Serap Kemali(AKDENIZ UNIVERSITY)0000-0001-5804-4127
Gültekin Tınaztepe(AKDENIZ UNIVERSITY)0000-0001-7594-1620
Gabil Adilov(AKDENIZ UNIVERSITY)0000-0003-3012-6176
Pages
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Publication Date
2021-10-15
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AI Summary & Key Takeaways

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

Some inequalities for these functions are expressed.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided.
📊
Key Findings & Data:Some integral inequalities for them are also presented.
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Conclusion & Impact:Some inequalities for these functions are expressed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard Inequality · Convex set · Convex functions

Abstract

In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown. Some inequalities for these functions are expressed.

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Cite This Article

Eken, Z., Kemali, S., Tınaztepe, G., Adilov, G. (2021). The Hermite-Hadamard inequalities for $p$-convex functions. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 5. https://doi.org/10.15672/hujms.775508

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