Some inequalities for cr-log-h-convex functions

被引：0
|
作者：
Wei Liu
Fangfang Shi
Guoju Ye
Dafang Zhao
机构：
[1] Hohai University,College of Science
[2] Hubei Normal University,School of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2022卷
关键词：
Interval-valued function; -log-; -convex; Jensen-type inequality; Hermite–Hadamard-type inequality; Fejér-type inequality; 26A33; 26A51; 26D10;
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摘要：
The main purpose of this paper is to study certain inequalities for cr-log-h-convex functions with an interval value. To this end, we first give a definition of cr-log-h-convexity of interval-valued functions under the cr-order and study some properties of such functions. On this basis, we establish the Jensen-, Hermite–Hadamard-, and Fejér-type inequalities for cr-log-h-convex functions, and discuss some special cases. In addition, we give some numerical examples to illustrate the accuracy of the results obtained.
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