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 inJournal of inequalities and applications Vol. 2022; no. 1; pp. 160 - 12
Main Authors Liu, Wei, Shi, Fangfang, Ye, Guoju, Zhao, Dafang
Format Journal Article
LanguageEnglish
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
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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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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02900-2