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关于泛函Fréchet可微性的证明
引用本文:周晶.关于泛函Fréchet可微性的证明[J].长春大学学报,2008,18(10):11-13.
作者姓名:周晶
作者单位:吉林农业大学信息技术学院,吉林长春130118
摘    要:由Frechet可微性的定义得出泛函Frechet可微和由泛函的Gateaux可微性推出泛函Frechet可微,通过举例对泛函的Frechet可微性进行了证明。

关 键 词:泛函  Frechet可微  Gateaux可微

Proof on Frechet differentiability of functional
ZHOU Jing.Proof on Frechet differentiability of functional[J].Journal of Changchun University,2008,18(10):11-13.
Authors:ZHOU Jing
Institution:ZHOU Jing(College of Information Technology,Jilin Agricultural University,Changchun 130118,China)
Abstract: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.
Keywords:functional  Frechet differentiability  Gateaux differentiability  
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