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1)  Gateaux differentiability
Gateaux可微性
2)  Gateaux differentiable
Gateaux可微
3)  K-Gateaux differentiablity
K-Gateaux可微
4)  the Gteaux differentiable paint
Gateaux可微点
5)  Gateaux differentiability
Gateaux可微
1.
Frechet differentiability is obtained by the definition of Frechet differentiability and Frechet differentiability is derived from Gateaux differentiability,This article has proved Frechet differentiability of functional by some examples.
由Fréchet可微性的定义得出泛函Fréchet可微和由泛函的Gateaux可微性推出泛函Fréchet可微,通过举例对泛函的Fréchet可微性进行了证明。
2.
In this paper,we give a necessary and sufficient condition for continuous conver functions to be Gateaux differentiability and Frechet differentiability.
给出了Banach空间中连续凸函数在一点Gateaux可微与Frechet可微的一个充要条件。
6)  uniform Gateaux differentiability
一致Gateaux可微
补充资料:连续性与非连续性(见间断性与不间断性)


连续性与非连续性(见间断性与不间断性)
continuity and discontinuity

11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt,n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
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