Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers

Hiroshi Yamazaki; Noboru Endou; Yasunari Shidama; Hiroyuki Okazaki

Formalized Mathematics (2007)

  • Volume: 15, Issue: 4, page 231-235
  • ISSN: 1426-2630

Abstract

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In this article, we extended properties of sequences of real numbers to sequences of extended real numbers. We also introduced basic properties of the inferior limit, superior limit and convergence of sequences of extended real numbers.

How to cite

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Hiroshi Yamazaki, et al. "Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers." Formalized Mathematics 15.4 (2007): 231-235. <http://eudml.org/doc/267112>.

@article{HiroshiYamazaki2007,
abstract = {In this article, we extended properties of sequences of real numbers to sequences of extended real numbers. We also introduced basic properties of the inferior limit, superior limit and convergence of sequences of extended real numbers.},
author = {Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama, Hiroyuki Okazaki},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {231-235},
title = {Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers},
url = {http://eudml.org/doc/267112},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Hiroshi Yamazaki
AU - Noboru Endou
AU - Yasunari Shidama
AU - Hiroyuki Okazaki
TI - Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers
JO - Formalized Mathematics
PY - 2007
VL - 15
IS - 4
SP - 231
EP - 235
AB - In this article, we extended properties of sequences of real numbers to sequences of extended real numbers. We also introduced basic properties of the inferior limit, superior limit and convergence of sequences of extended real numbers.
LA - eng
UR - http://eudml.org/doc/267112
ER -

References

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Citations in EuDML Documents

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  1. Noboru Endou, Keiko Narita, Yasunari Shidama, Fatou's Lemma and the Lebesgue's Convergence Theorem
  2. Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama, Hopf Extension Theorem of Measure
  3. Noboru Endou, Yasunari Shidama, Keiko Narita, Egoroff's Theorem
  4. Noboru Endou, Keiko Narita, Yasunari Shidama, The Lebesgue Monotone Convergence Theorem
  5. Keiko Narita, Noboru Endou, Yasunari Shidama, The Measurability of Complex-Valued Functional Sequences
  6. Noboru Endou, Extended Real-Valued Double Sequence and Its Convergence
  7. Noboru Endou, Product Pre-Measure

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