半e -预倒凸函数的Jessen不等式及其应用

2022 14th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC) Pub Date : 2022-08-01 DOI:10.1109/IHMSC55436.2022.00036

Zufeng Fu, Haiying Wang, Xiao Jia

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引用次数: 0

摘要

通过引入适用于e -凸集和半e -预凸函数的η- e -凸线性组合，得到了半e -预凸函数的Jensen不等式，并得到了由两点生成的半e -预凸函数Jensen不等式误差的上界。

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The Jessen inequality of semi-E-preinvex functions and its applications

The Jensen inequality for the semi-E-preinvex functions is obtained by introducing the η-E-convex linear combination suitable for E-invex sets and semi-E-preinvex functions, and an upper bound of the error of the semi-E-preinvex functions’ Jensen inequality generated by two points is obtained.

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来源期刊

2022 14th International Conference on Intelligent Human-Machine Systems and Cybernetics (IHMSC)

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