1. Some inequalities for cr-log-h-convex functions
- Author
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Wei Liu, Fangfang Shi, Guoju Ye, and Dafang Zhao
- Subjects
Interval-valued function ,cr-log-h-convex ,Jensen-type inequality ,Hermite–Hadamard-type inequality ,Fejér-type inequality ,Mathematics ,QA1-939 - Abstract
Abstract 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.
- Published
- 2022
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