Some Hermite-Hadamard Type Inequaliyies for Functions whose Derivatives are Quasi-Convex

B. Meftah; M. Merad; A. Souahi

Some Hermite-Hadamard Type Inequaliyies for Functions whose Derivatives are Quasi-Convex

Authors

B. Meftah
M. Merad
A. Souahi

Keywords:

integral inequality, quasi-convex function, H¨older inequality, power mean inequality.

Abstract

In this paper, we establish new Hermite-Hadamard’s inequalities using a new identity for parameter functions via quasi-convexity. Several known results are derived. Applications to special means are also given.

Key words and phrases. integral inequality, quasi-convex function, H¨older inequality, power mean inequality.

2000 Mathematics Subject Classification. 26D15, 26D20, 26A51

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Published

2025-05-18

How to Cite

B. Meftah, M. Merad, & A. Souahi. (2025). Some Hermite-Hadamard Type Inequaliyies for Functions whose Derivatives are Quasi-Convex. Jordan Journal of Mathematics and Statistics, 12(2), 219–231. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/949