映射导数为s-凸函数且在分数次积分下的Hadamard型不等式  

Hadamard-Type Inequalities with Mapping Derivatives Being s-Convex Functions and under Fractional Integrals

作　　者：孙文兵[1] SUN Wenbing(Department of Science and Information Science, Shaoyang University, Shaoyang 422000, Hunan Province, Chin)

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422000

出　　处：《吉林大学学报（理学版）》2017年第4期809-814,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:61672356);湖南省自然科学基金(批准号:12JJ3008);湖南省教育厅一般项目(批准号:15C1236)

摘　　要：建立一个Riemann-Liouville分数次积分恒等式,并利用s-凸函数的定义以及H9lder不等式等,对可微的s-凸映射建立一些涉及Riemann-Liouville分数次积分的新HermiteHadamard型不等式.The author established a Riemann-Liouville fractional integral identity,and used the definition of s-convex function and H9 lder inequality etc to establish some new Hermite-Hadamard type inequalities for differentiable s-convex mappings that were connected with the Riemann-Liouville fractional integrals.

关 键 词：HADAMARD不等式 s-凸函数 积分不等式 Riemann-Liouville分数次积分 

分 类 号：O178[理学—数学]