On HT-convexity and Hadamard-type inequalities

Abstract In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic mean and the p-logarithmic mean. These...

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Bibliographic Details
Main Authors: Shu-Ping Bai, Shu-Hong Wang, Feng Qi
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-019-2276-3