New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions

In this paper, we introduce the h -convex concept for interval-valued functions. By using the h -convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequalities generalize some known results.

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2018; no. 1; pp. 1 - 14
Main Authors Zhao, Dafang, An, Tianqing, Ye, Guoju, Liu, Wei
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 07.11.2018
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
h-convex
Hermite–Hadamard inequality
Inequalities
Interval-valued functions
Jensen inequality
Mathematics
Mathematics and Statistics
28B20
Interval-valued functions
convex
Hermite–Hadamard inequality
Jensen inequality
26D15
26E25
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Summary:In this paper, we introduce the h -convex concept for interval-valued functions. By using the h -convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequalities generalize some known results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-018-1896-3