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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 4

ON SOME INEQUALITIES OF SIMPSON’S TYPE VIA h−CONVEX FUNCTIONS

Mevlüt TUNÇ
Çetin YILDIZ
Alper EKİNCİ
Pages
309–317
Publication Date
2013-04-01
DOI
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AI Summary & Key Takeaways

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

Also we give some sophisticated results for some different kinds of convex functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we prove some new inequalities of Simpson’s type for functions whose derivatives of absolute values are h−convex and h−concavefunctions.
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Key Findings & Data:Some new estimations are obtained.
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Conclusion & Impact:Also we give some sophisticated results for some different kinds of convex functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:h−convex and h−concave functions · Simpson’s Inequality · H¨older Inequality.

Abstract

In this paper, we prove some new inequalities of Simpson’s type for functions whose derivatives of absolute values are h−convex and h−concavefunctions. Some new estimations are obtained. Also we give some sophisticated results for some different kinds of convex functions.

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Cite This Article

TUNÇ, M., YILDIZ, Ç., EKİNCİ, A. (2013). ON SOME INEQUALITIES OF SIMPSON’S TYPE VIA h−CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 4, 309–317. https://ajindex.com/articles/669595

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References (8)

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