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Higher order derivatives in topological linear spaces

Published online by Cambridge University Press:  09 April 2009

J. W. Lloyd
J. W. Lloyd
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia.
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Abstract

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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.

Keywords

topological linear spaceFréchet derivativeHadamard derivativehigher order chain rule
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 3 , May 1978 , pp. 348 - 361
Copyright
Copyright © Australian Mathematical Society 1978

References

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