Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings

In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions. We also prove Hermite–Hadamard–Mercer-type inequalities for functions whose first derivatives in absolute value are harmonically convex. Finall...

全面介紹

書目詳細資料
發表在:Mathematics
Main Authors: Xuexiao You, Muhammad Aamir Ali, Hüseyin Budak, Jiraporn Reunsumrit, Thanin Sitthiwirattham
格式: Article
語言:英语
出版: MDPI AG 2021-10-01
主題:
Hermite–Hadamard–Mercer inequality
Jensen inequality
harmonically convex function
在線閱讀:https://www.mdpi.com/2227-7390/9/20/2556
實物特徵
總結:In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions. We also prove Hermite–Hadamard–Mercer-type inequalities for functions whose first derivatives in absolute value are harmonically convex. Finally, we discuss how special means can be used to address newly discovered inequalities.
ISSN:2227-7390

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