The First Mean Value Theorem for Integrals

Keiko Narita; Noboru Endou; Yasunari Shidama

Formalized Mathematics (2008)

  • Volume: 16, Issue: 1, page 51-55
  • ISSN: 1426-2630

Abstract

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In this article, we prove the first mean value theorem for integrals [16]. The formalization of various theorems about the properties of the Lebesgue integral is also presented.MML identifier: MESFUNC7, version: 7.8.09 4.97.1001

How to cite

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Keiko Narita, Noboru Endou, and Yasunari Shidama. "The First Mean Value Theorem for Integrals." Formalized Mathematics 16.1 (2008): 51-55. <http://eudml.org/doc/267055>.

@article{KeikoNarita2008,
abstract = {In this article, we prove the first mean value theorem for integrals [16]. The formalization of various theorems about the properties of the Lebesgue integral is also presented.MML identifier: MESFUNC7, version: 7.8.09 4.97.1001},
author = {Keiko Narita, Noboru Endou, Yasunari Shidama},
journal = {Formalized Mathematics},
keywords = {normed linear spaces; Banach spaces; duality; orthogonal projection; Riesz representation},
language = {eng},
number = {1},
pages = {51-55},
title = {The First Mean Value Theorem for Integrals},
url = {http://eudml.org/doc/267055},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Keiko Narita
AU - Noboru Endou
AU - Yasunari Shidama
TI - The First Mean Value Theorem for Integrals
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 1
SP - 51
EP - 55
AB - In this article, we prove the first mean value theorem for integrals [16]. The formalization of various theorems about the properties of the Lebesgue integral is also presented.MML identifier: MESFUNC7, version: 7.8.09 4.97.1001
LA - eng
KW - normed linear spaces; Banach spaces; duality; orthogonal projection; Riesz representation
UR - http://eudml.org/doc/267055
ER -

References

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