| 对称凸函数和弱对称凸函数的Hermite-Hadamard型不等式 |
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| 引用本文： | 曾志红,时统业,钟建华,陈强.对称凸函数和弱对称凸函数的Hermite-Hadamard型不等式[J].西南师范大学学报(自然科学版),2018,43(4):24-30. |
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| 作者姓名： | 曾志红 时统业 钟建华 陈强 |
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| 作者单位： | 广东第二师范学院学报编辑部;海军指挥学院信息系;广东第二师范学院数学系;广东第二师范学院计算机科学系 |
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| 摘 要： | 利用凸函数的性质和Hermite-Hadamard不等式,得到对称凸函数和弱对称凸函数的Hermite-Hadamard型不等式,给出了已有对称凸函数和弱对称凸函数Hermite-Hadamard型不等式的加细.
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| 关 键 词： | 对称凸函数 弱对称凸函数 凸函数 Hermite-Hadamard型不等式 |
On Hermite-Hadamard Type Inequalities for Symmetrized Convex Functions and Weak Symmetrized Convex Functions |
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| ZENG Zhi-hong,SHI Tong-ye,ZHONG Jian-hua,CHEN Qiang.On Hermite-Hadamard Type Inequalities for Symmetrized Convex Functions and Weak Symmetrized Convex Functions[J].Journal of Southwest China Normal University(Natural Science),2018,43(4):24-30. |
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| Authors: | ZENG Zhi-hong SHI Tong-ye ZHONG Jian-hua CHEN Qiang |
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| Institution: | Editorial Department of Journal, Guangdong University of Education;
Department of Information, PLA Naval Command College;
Department of Mathematics, Guangdong University of Education;
Department of Computer Science, Guangdong University of Education; |
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| Abstract: | By using the properties of convex functions and Hermite-Hadamard inequality, we have obtained Hermite-Hadamard type inequalities of weak symmetrized convex functions and symmetrized convex functions, and given the refinement of the Hermite-Hadamard type inequalities of weak symmetrized convex functions and symmetrized convex functions. |
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| Keywords: | symmetrized convex function weak symmetrized convex function convex function Hermite-Hadamard type inequality |
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