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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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
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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.
AbstractList	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. 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. 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.
ArticleNumber	160
Author	Shi, Fangfang Ye, Guoju Zhao, Dafang Liu, Wei
Author_xml	– sequence: 1 givenname: Wei surname: Liu fullname: Liu, Wei organization: College of Science, Hohai University – sequence: 2 givenname: Fangfang surname: Shi fullname: Shi, Fangfang email: 15298387799@163.com organization: College of Science, Hohai University – sequence: 3 givenname: Guoju surname: Ye fullname: Ye, Guoju organization: College of Science, Hohai University – sequence: 4 givenname: Dafang surname: Zhao fullname: Zhao, Dafang organization: School of Mathematics and Statistics, Hubei Normal University
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Snippet	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... 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... 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...
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SubjectTerms	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
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Title	Some inequalities for cr-log-h-convex functions
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