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Article

Hermite-Hadamard Type Inequalities for Interval (h1, h2)-Convex Functions

by 1, 2,*, 3 and 2
1
School of Business, Nanjing University, Nanjing 210098, China
2
College of Science, Hohai University, Nanjing 210098, China
3
School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(5), 436; https://doi.org/10.3390/math7050436
Received: 18 April 2019 / Revised: 13 May 2019 / Accepted: 14 May 2019 / Published: 17 May 2019
(This article belongs to the Special Issue Inequalities)
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. View Full-Text
Keywords: Hermite-Hadamard inequality; interval-valued functions; (h1, h2)-convex Hermite-Hadamard inequality; interval-valued functions; (h1, h2)-convex
MDPI and ACS Style

An, Y.; Ye, G.; Zhao, D.; Liu, W. Hermite-Hadamard Type Inequalities for Interval (h1, h2)-Convex Functions. Mathematics 2019, 7, 436. https://doi.org/10.3390/math7050436

AMA Style

An Y, Ye G, Zhao D, Liu W. Hermite-Hadamard Type Inequalities for Interval (h1, h2)-Convex Functions. Mathematics. 2019; 7(5):436. https://doi.org/10.3390/math7050436

Chicago/Turabian Style

An, Yanrong, Guoju Ye, Dafang Zhao, and Wei Liu. 2019. "Hermite-Hadamard Type Inequalities for Interval (h1, h2)-Convex Functions" Mathematics 7, no. 5: 436. https://doi.org/10.3390/math7050436

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