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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 9 Sayı: 2

Integral Inequalities for n-Times Differentiable h-Convex and h-Concave Functions

n-kere Türevlenebilen h-konveks ve h-konkav fonksiyonlar için İntegral Eşitsizlikler

Huriye Kadakal(Milli Eğitim Bakanlığı)0000-0002-0304-7192
Pages
1073–1081
Publication Date
2019-06-01
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AI Summary & Key Takeaways

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

In this study, we get several new inequalities for n -times differentiable -convex and -concave functions by applying an integral identity together with both the Hölder and the Power-Mean integral inequality.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we get several new inequalities for n -times differentiable -convex and -concave functions by applying an integral identity together with both the Hölder and the Power-Mean integral inequality.
📊
Key Findings & Data:In this study, we get several new inequalities for n -times differentiable -convex and -concave functions by applying an integral identity together with both the Hölder and the Power-Mean integral inequality.
💡
Conclusion & Impact:In this study, we get several new inequalities for n -times differentiable -convex and -concave functions by applying an integral identity together with both the Hölder and the Power-Mean integral inequality.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:h-konveks ve h-konkav fonksiyon · Hölder ve Hermite-Hadamard eşitsizliği · h-convex and h-concave function

Abstract

In this study, we get several new inequalities for n -times differentiable -convex and -concave functions by applying an integral identity together with both the Hölder and the Power-Mean integral inequality.

Özet

Bu çalışmada, hem Hölder hem de Power-Mean integral eşitsizliği ile birlikte bir integral eşitliği kullanılarak n-kere türevlenebilen -konveks ve -konkav fonksiyonlar için bir kaç yeni eşitsizlik bulunmuştur.

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Cite This Article

Kadakal, H. (2019). Integral Inequalities for n-Times Differentiable h-Convex and h-Concave Functions. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 9 Sayı: 2, 1073–1081. https://doi.org/10.21597/jist.471279

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