Riemann Integral of Functions R into C

Keiichi Miyajima; Takahiro Kato; Yasunari Shidama

Formalized Mathematics (2010)

  • Volume: 18, Issue: 4, page 201-206
  • ISSN: 1426-2630

Abstract

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In this article, we define the Riemann Integral on functions R into C and proof the linearity of this operator. Especially, the Riemann integral of complex functions is constituted by the redefinition about the Riemann sum of complex numbers. Our method refers to the [19].

How to cite

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Keiichi Miyajima, Takahiro Kato, and Yasunari Shidama. "Riemann Integral of Functions R into C." Formalized Mathematics 18.4 (2010): 201-206. <http://eudml.org/doc/267085>.

@article{KeiichiMiyajima2010,
abstract = {In this article, we define the Riemann Integral on functions R into C and proof the linearity of this operator. Especially, the Riemann integral of complex functions is constituted by the redefinition about the Riemann sum of complex numbers. Our method refers to the [19].},
author = {Keiichi Miyajima, Takahiro Kato, Yasunari Shidama},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {201-206},
title = {Riemann Integral of Functions R into C},
url = {http://eudml.org/doc/267085},
volume = {18},
year = {2010},
}

TY - JOUR
AU - Keiichi Miyajima
AU - Takahiro Kato
AU - Yasunari Shidama
TI - Riemann Integral of Functions R into C
JO - Formalized Mathematics
PY - 2010
VL - 18
IS - 4
SP - 201
EP - 206
AB - In this article, we define the Riemann Integral on functions R into C and proof the linearity of this operator. Especially, the Riemann integral of complex functions is constituted by the redefinition about the Riemann sum of complex numbers. Our method refers to the [19].
LA - eng
UR - http://eudml.org/doc/267085
ER -

References

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