| 映射导数为s-凸函数且在分数次积分下的Hadamard型不等式 |
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| 引用本文： | 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. |
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| 作者姓名： | 孙文兵 |
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| 作者单位： | 邵阳学院 理学与信息科学系, 湖南 邵阳 422000 |
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| 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.
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| 关 键 词： | Riemann-Liouville分数次积分 s-凸函数 Hadamard不等式 积分不等式 |
| 收稿时间： | 2016-09-01 |
Hadamard Type Inequalities with Mapping Derivatives Being s Convex Functions and under Fractional Integrals |
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| SUN Wenbing.Hadamard Type Inequalities with Mapping Derivatives Being s Convex Functions and under Fractional Integrals[J].Journal of Jilin University: Sci Ed,2017,55(4):809-814. |
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| Authors: | SUN Wenbing |
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| Institution: | Department of Science and Information Science, Shaoyang University, Shaoyang 422000, Hunan Province, China |
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| Abstract: | The author established a Riemann Liouville fractional integral identity, and used the definition of s-convex- function and Holder inequality etc to establish some new Hermite Hadamard type inequalities for differentiable s-convex mappings that were connected with the Riemann Liouville fractional integrals. |
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| Keywords: | integral inequality s-convex function Hadamard’s inequality Riemann-Liouville fractional integral |
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