SUBDIFFERENTIALS FOR THE DIFFERENCE OF TWO CONVEX FUNCTIONS

E. S. Polovinkin

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SUBDIFFERENTIALS FOR THE DIFFERENCE OF TWO CONVEX FUNCTIONS

机译：两个凸函数的差分的泛函

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It is shown that for some classes of functions all epiderivatives and subdifferentials of the Clarke, Michel-Penot, and other types coincide. Several rules of calculation of epiderivatives and 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，Clarke，Michel-Penot和其他类型的所有上导数和次微分都重合。得到了两个凸函数之差的上微分和微分计算的几个规则。考虑一些例子。

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《Journal of Mathematical Sciences》 |2016年第5期|664-677|共14页
作者
E. S. Polovinkin;
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Department of Higher Mathematics, Moscow Institute of Physics and Technology, Institutskii pereulok 9, Dolgoprudny, Moscow region, Russia 141700;

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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

SUBDIFFERENTIALS FOR THE DIFFERENCE OF TWO CONVEX FUNCTIONS

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