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Journals / New Trends in Mathematical Sciences / 2026 / Cilt: 4 Sayı: 3

On new general integral inequalities for h-convex function

İmdat Iscan(Giresun University)
Mustafa Aydin(Giresun University)
Pages
73–87
Publication Date
2016-09-30
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, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are -convex and -concave by using power mean inequality, Hölder inequality and some other integral inequalities.
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Key Findings & Data:In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are -convex and -concave by using power mean inequality, Hölder inequality and some other integral inequalities.
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Conclusion & Impact:Some applications to special means of real numbers are also given.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:h-convex function · h-concave function · Simpson’s inequality

Abstract

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are -convex and -concave by using power mean inequality, Hölder inequality and some other integral inequalities. Some applications to special means of real numbers are also given.

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Cite This Article

Iscan, İ., Aydin, M. (2016). On new general integral inequalities for h-convex function. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 3, 73–87. https://ajindex.com/articles/1657726

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