Calculation of subdifferentials for the difference of two convex functions

机译：两个凸函数之差的微分计算

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It is shown that for some classes of functions all epiderivatives and subdifferentials of F. H. Clarke type and P. Michel J.-P. Penot type and others coincide. Several rules of calculation of subdifferentials for the difference of two convex functions are obtained. Some examples are considered.

机译：结果表明，对于某些类的函数，F。H. Clarke型和P. Michel J.-P.的所有上微分和亚微分。 not型与其他相吻合。得到了两个凸函数之差的微分计算的几个规则。考虑一些例子。

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来源
《2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov)》|2017年|1-2|共2页
会议地点 St. Petersburg(RU)
作者
Evgenii Polovinkin;
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作者单位

Moscow Institute of Physics and Technology (State University), Institutsky per., 9, Dolgoprudny, 141700, Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Convex functions; Calculus; Logic gates; Physics; Electronic mail; Control theory; Optimization;

机译：凸函数;微积分;逻辑门;物理;电子邮件;控制理论;优化;

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专利

1. SUBDIFFERENTIALS FOR THE DIFFERENCE OF TWO CONVEX FUNCTIONS [J] . E. S. Polovinkin Journal of Mathematical Sciences . 2016,第5期

机译：两个凸函数的差分的泛函
2. Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions [J] . Moffat Sarah M., Moursi Walaa M., Wang Xianfu Mathematical Programming . 2016,第1a2期

机译：近似凸集：凸函数的优良性质和微分的域或范围
3. On generalized convex functions and generalized subdifferential [J] . Optimization Letters . 2020,第1期

机译：关于广义凸函数和广义子样本
4. Calculation of subdifferentials for the difference of two convex functions [C] . Evgenii Polovinkin Constructive Nonsmooth Analysis and Related Topics (Conference) . 2017

机译：计算两个凸函数差异的子样本
5. Difference-of-Convex Learning: Optimization with Non-Convex Sparsity Functions [D] . Ahn, Miju. 2018

机译：凸起学习差异：使用非凸稀稀函数优化
6. General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [O] . G. Farid, K. A. Khan, N. Latif, -1

机译：通过扩展的广义Mittag-Leffler函数凸函数和m-凸函数的一般分数阶积分不等式
7. A formula on the approximate subdifferential of the difference of convex functions [O] . J.E. Martínez-legaz, A. Seeger 1992

机译：凸函数差异的近似分布式公式
8. THREE NOTES 1. ON OSCILLATORS WITH LARGE FREQUENCIES 2. ON THE RATIO f(t + cf﹣α(t):)/f(t) 3. ON FUNCTIONS REPRESENTABLE AS A DIFFERENCE OF CONVEX FUNCTIONS [R] . Philip Hartman 1959

机译：三注意事项1.关于具有大频率的振荡器2.在比率上f（t + cf-α（t）:) / f（t）3。作为凸函数的差异表示的函数

Calculation of subdifferentials for the difference of two convex functions

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