摘要
建立了一个关于Riemann-Liouville分数次积分的恒等式,利用此恒等式,得到了一些函数为可微且s-凸映射的关于分数次积分的新Hermite-Hadamard型积分不等式,并且对于可微的s-凹函数也得到一些新的结果.文中的新结果推广了部分已有研究的结论.最后给出了一个应用实例.
In this paper,we establish a new identity for Riemann-Liouville fractional integrals.Using the established identity,some new Hermite-Hadamard type inequalities for differentiable s-convex mappings that are connected with the Riemann-Liouville fractional integrals are obtained.Also,some results are deduced for differentiable s-concave functions.Our results extend some proved results in the existing researches.Finally,we give an example to illustrate the applications of the results.
作者
孙文兵
SUN Wenbing(Department of Science and Information Science, Shaoyang University, Shaoyang 422000, Hunan Province, Chin)
出处
《浙江大学学报(理学版)》
CAS
CSCD
北大核心
2017年第5期531-537,共7页
Journal of Zhejiang University(Science Edition)
基金
湖南省自然科学基金资助项目(12JJ3008)
湖南省教育厅重点项目(14A132)
邵阳市科技计划项目(2016GX04)