Hermite-Hadamard Type Inequalities for Interval ( h 1, h 2 )-Convex Functions

Yanrong An, Guoju Ye, Dafang Zhao and Wei Liu
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Yanrong An: School of Business, Nanjing University, Nanjing 210098, China
Guoju Ye: College of Science, Hohai University, Nanjing 210098, China
Dafang Zhao: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Wei Liu: College of Science, Hohai University, Nanjing 210098, China

Mathematics, 2019, vol. 7, issue 5, 1-9

Abstract: We introduce the concept of interval ( h 1 , h 2 ) -convex functions. Under the new concept, we establish some new interval Hermite-Hadamard type inequalities, which generalize those in the literature. Also, we give some interesting examples.

Keywords: Hermite-Hadamard inequality; interval-valued functions; ( h 1 , h 2 )-convex (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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