Higher order derivatives in topological linear spaces

Journal of the Australian Mathematical Society

J. W. Lloyd¹ 

关键词: topological linear space;    Fréchet derivative;    Hadamard derivative;    higher order chain rule;   

DOI  :  10.1017/S1446788700021091

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The higher order chain rule for Fréchet and Hadamard differentiable mappings on topological linear spaces is proved and various formulae for (g°f)(n) (x) are given. Leibniz' theorem (in a very general form) is also proved.

【 授权许可】

Unknown