Some fractional Hermite–Hadamard-type inequalities for interval-valued coordinated functions

Some fractional Hermite–Hadamard-type inequalities for interval-valued coordinated functions

Abstract The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via Riemann–Liouville-type fractional integrals. Moreover, we obtain some fractional Hermite–Hadamard-type inequalities for the product of two coordinated h-c...

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Bibliographic Details
Main Authors: Fangfang Shi, Guoju Ye, Dafang Zhao, Wei Liu
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
Hermite–Hadamard-type inequalities
Interval-valued coordinated functions
Riemann–Liouville-type fractional integrals
Online Access:https://doi.org/10.1186/s13662-020-03200-z
Description
Summary:Abstract The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via Riemann–Liouville-type fractional integrals. Moreover, we obtain some fractional Hermite–Hadamard-type inequalities for the product of two coordinated h-convex interval-valued functions. Our results generalize several well-known inequalities.
ISSN:1687-1847

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