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

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...

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Bibliographic Details
Main Authors: Xuexiao You, Muhammad Aamir Ali, Hüseyin Budak, Jiraporn Reunsumrit, Thanin Sitthiwirattham
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
Hermite–Hadamard–Mercer inequality
Jensen inequality
harmonically convex function
Online Access:https://www.mdpi.com/2227-7390/9/20/2556

Internet

https://www.mdpi.com/2227-7390/9/20/2556

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