Jensen–Mercer inequality for GA-convex functions and some related inequalities

Abstract In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities connected with Hermite–Hadamard–Merce...

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Bibliographic Details
Main Author: İmdat İşcan
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02478-7