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Journals / New Trends in Mathematical Sciences / 2017 / Cilt: 5 Sayı: 3

On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions

Samet ERDEN
Mehmet Zeki SARİKAYA
Pages
33–45
Publication Date
2017-07-01
DOI
—
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AI Summary & Key Takeaways

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

Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rectangle from the plane.
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Key Findings & Data:In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rectangle from the plane.
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Conclusion & Impact:Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Convex function · co-ordinated convex mapping · Ostrowski inequality

Abstract

In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.

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Cite This Article

ERDEN, S., SARİKAYA, M. Z. (2017). On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 3, 33–45. https://ajindex.com/articles/1003697

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References (11)

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