文献类型：期刊文献

英文题名：On the Hermite-Hadamard type inequality for psi-Riemann-Liouville fractional integrals via convex functions

作者：Liu, Kui Wang, JinRong O'Regan, Donal

第一作者：刘葵

通信作者：Wang, JR[1];Wang, JR[2]

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang, Guizhou, Peoples R China;[2]Guizhou Univ, Dept Math, Guiyang, Guizhou, Peoples R China;[3]Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China;[4]Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

第一机构：贵州理工学院理学院

通信机构：corresponding author), Guizhou Univ, Dept Math, Guiyang, Guizhou, Peoples R China;corresponding author), Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China.

年份：2019

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-85060750949);WOS:【SCI-EXPANDED(收录号:WOS:000462331600003)】；

基金：This work is partially supported by Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), Science and Technology Program of Guizhou Province ([2017]5788-10), and Major Research Project of Innovative Group in Guizhou Education Department ([2018]012).

语种：英文

外文关键词：Hermite-Hadamard inequality; psi-Riemann-Liouville fractional integrals

摘要：In this paper, we establish a new Hermite-Hadamard inequality involving left-sided and right-sided psi-Riemann-Liouville fractional integrals via convex functions. We also show two basic psi-Riemann-Liouville fractional integral identities including the first order derivative of a given convex function, and these will be used to derive estimates for some fractional Hermite-Hadamard inequalities. Finally, we give some applications to special means of real numbers.