On Hermite-Hadamard Type Inequalities for Symmetrized Convex Functions and Weak Symmetrized Convex Functions

ZENG Zhi-hong SHI Tong-ye ZHONG Jian-hua CHEN Qiang

Journal of Southwest China Normal University(Natural Science Edition)

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2018 Volume 43 Issue 4

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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 Edition), 2018, 43(4): 24-30.

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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 Edition), 2018, 43(4): 24-30.

On Hermite-Hadamard Type Inequalities for Symmetrized Convex Functions and Weak Symmetrized Convex Functions

ZENG Zhi-hong SHI Tong-ye ZHONG Jian-hua CHEN Qiang

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.
- symmetrized convex function,
- weak symmetrized convex function,
- convex function,
- Hermite-Hadamard type inequality
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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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