吉林大学学报（理学版）2017，Vol.55Issue(4)：809-814,6.DOI:10.13413/j.cnki.jdxblxb.2017.04.09
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
摘要
Abstract
The author established a Riemann-Liouville fractional integral identity,and used the definition of s-convex function and H(o)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Key words
Hadamard's inequality/s-convex function/integral inequality/Riemann-Liouville fractional integral分类
数理科学引用本文复制引用
孙文兵..映射导数为s-凸函数且在分数次积分下的Hadamard型不等式[J].吉林大学学报（理学版）,2017,55(4):809-814,6.基金项目
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)和湖南省教育厅一般项目(批准号:15C1236). （批准号:61672356）
