Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized ( α , m ) $(\alpha,m)$ -preinvex functions

Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized ( α , m ) $(\alpha,m)$ -preinvex functions

Abstract The authors first introduce the concepts of generalized ( α , m ) $(\alpha,m)$ -preinvex function, generalized quasi m-preinvex function and explicitly ( α , m ) $(\alpha, m)$ -preinvex function, and then provide some interesting properties for the newly introduced functions. The more impor...

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Bibliographic Details
Main Authors: TingSong Du, JiaGen Liao, LianZi Chen, Muhammad Uzair Awan
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Hermite-Hadamard’s inequality
( α , m ) $(\alpha,m)$ -preinvex functions
Riemann-Liouville fractional integrals
Online Access:http://link.springer.com/article/10.1186/s13660-016-1251-5

Internet

http://link.springer.com/article/10.1186/s13660-016-1251-5

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