Some Integral Inequalities for Log-<inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>-Convex Interval-Valued Functions

Some Integral Inequalities for Log-<inline-formula> <tex-math notation="LaTeX">$h$ </tex-math></inline-formula>-Convex Interval-Valued Functions

We introduce the log-h-convex concept for the interval-valued functions (IVFs) and establish some of the new Jensen's, Hadamard's, and Hadamard-Feje&#x0301;r's inequalities for this kind of functions, which generalize some known results. Meanwhile, some interesting examples are gi...

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Bibliographic Details
Main Authors: Yuanyuan Guo, Guoju Ye, Dafang Zhao, Wei Liu
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Interval-valued functions
log-<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">h</italic>-convex
Jensen’s inequality
Hadamard’s inequality
Hadamard-Fejér’s inequality
Online Access:https://ieeexplore.ieee.org/document/8746213/

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https://ieeexplore.ieee.org/document/8746213/

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