Some inequalities for cr-log-h-convex functions

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 es...

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Bibliographic Details
Published in:Journal of inequalities and applications Vol. 2022; no. 1; pp. 160 - 12
Main Authors: Liu, Wei, Shi, Fangfang, Ye, Guoju, Zhao, Dafang
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 22.12.2022
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications of Mathematics
Convex analysis
Convexity
cr-log-h-convex
Fejér-type inequality
Hermite–Hadamard-type inequality
Inequalities
Inequality
Interval-valued function
Jensen-type inequality
Mathematics
Mathematics and Statistics
Interval-valued function
Hermite–Hadamard-type inequality
Jensen-type inequality
26A51
log
26D10
26A33
convex
Fejér-type inequality
ISSN:1029-242X, 1025-5834, 1029-242X
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02900-2