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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 2

Inequalities for log-convex functions via three times differentiability

Merve AVCI ARDIÇ
Emin ÖZDEMİR
Pages
353–358
Publication Date
2017-06-30
DOI
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AI Summary & Key Takeaways

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

Some applications to quadrature formula for midpoint error estimate are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established.
📊
Key Findings & Data:In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established.
💡
Conclusion & Impact:Some applications to quadrature formula for midpoint error estimate are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convexity · log-convex functions · Hermite-Hadamard inequality

Abstract

In this paper, some new integral inequalities like Hermite-Hadamard type for functions whose third derivatives absolute value are convex are established. Some applications to quadrature formula for midpoint error estimate are given.

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Cite This Article

ARDIÇ, M. A., ÖZDEMİR, E. (2017). Inequalities for log-convex functions via three times differentiability. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 2, 353–358. https://ajindex.com/articles/35039

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