Differentiation in Normed Spaces

Noboru Endou; Yasunari Shidama

Formalized Mathematics (2013)

  • Volume: 21, Issue: 2, page 95-102
  • ISSN: 1426-2630

Abstract

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In this article we formalized the Fréchet differentiation. It is defined as a generalization of the differentiation of a real-valued function of a single real variable to more general functions whose domain and range are subsets of normed spaces [14].

How to cite

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Noboru Endou, and Yasunari Shidama. "Differentiation in Normed Spaces." Formalized Mathematics 21.2 (2013): 95-102. <http://eudml.org/doc/266646>.

@article{NoboruEndou2013,
abstract = {In this article we formalized the Fréchet differentiation. It is defined as a generalization of the differentiation of a real-valued function of a single real variable to more general functions whose domain and range are subsets of normed spaces [14].},
author = {Noboru Endou, Yasunari Shidama},
journal = {Formalized Mathematics},
keywords = {formalization of Fréchet derivative; Fréchet differentiability},
language = {eng},
number = {2},
pages = {95-102},
title = {Differentiation in Normed Spaces},
url = {http://eudml.org/doc/266646},
volume = {21},
year = {2013},
}

TY - JOUR
AU - Noboru Endou
AU - Yasunari Shidama
TI - Differentiation in Normed Spaces
JO - Formalized Mathematics
PY - 2013
VL - 21
IS - 2
SP - 95
EP - 102
AB - In this article we formalized the Fréchet differentiation. It is defined as a generalization of the differentiation of a real-valued function of a single real variable to more general functions whose domain and range are subsets of normed spaces [14].
LA - eng
KW - formalization of Fréchet derivative; Fréchet differentiability
UR - http://eudml.org/doc/266646
ER -

References

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