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On the Hermite–Hadamard type inequality for ψ-Riemann–Liouville fractional integrals via convex functions     被引量:50

文献类型:期刊文献

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

作者:Liu K. Wang J.R. O’Regan D.

第一作者:Liu K.

通信作者:Wang, J.R.[2,3]

机构:[1]College of Science, Guizhou Institute of Technology, Guiyang, China;[2]Department of Mathematics, Guizhou University, Guiyang, China;[3]School of Mathematical Sciences, Qufu Normal University, Qufu, China;[4]School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

第一机构:贵州理工学院理学院

年份:2019

卷号:2019

外文期刊名:Journal of Inequalities and Applications

收录:Scopus(收录号:2-s2.0-85060750949)

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; ψ-Riemann–Liouville fractional integrals

摘要:In this paper, we establish a new Hermite–Hadamard inequality involving left-sided and right-sided ψ-Riemann–Liouville fractional integrals via convex functions. We also show two basic ψ-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. ? 2019, The Author(s).

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