HERMITE-HADAMARD INTEGRAL INEQUALITY FOR $(\alpha,m)$-CONVEX FUNCTIONS

Document Type : Original Paper

Author

Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

Abstract

In this paper, after introducing the $m$-convexity by Toader, as an intermediate among the general convexity and star shaped property, we bring Hermite-Hadamard integral inequality on $(\alpha,m)$-convex function in the new form. Previous results about the Hermite-Hadamard inequality for $m$-convex functions are part of the results of our theorems. Illustrated examples of $(\alpha,m)$-convex and $m$-convex functions are also included in the article.

Keywords

Main Subjects

References

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History

• Receive Date: 25 August 2022
• Revise Date: 08 December 2022
• Accept Date: 19 December 2022
• First Publish Date: 22 December 2022