Extended Real-Valued Double Sequence and Its Convergence

Noboru Endou

Formalized Mathematics (2015)

  • Volume: 23, Issue: 3, page 253-277
  • ISSN: 1426-2630

Abstract

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In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In addition, we also prove Fatou’s lemma and the monotone convergence theorem for double sequences.

How to cite

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Noboru Endou. "Extended Real-Valued Double Sequence and Its Convergence." Formalized Mathematics 23.3 (2015): 253-277. <http://eudml.org/doc/276422>.

@article{NoboruEndou2015,
abstract = {In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In addition, we also prove Fatou’s lemma and the monotone convergence theorem for double sequences.},
author = {Noboru Endou},
journal = {Formalized Mathematics},
keywords = {double sequence; Fatou’s lemma for double sequence; monotone convergence theorem for double sequence; Fatou's lemma for double sequence},
language = {eng},
number = {3},
pages = {253-277},
title = {Extended Real-Valued Double Sequence and Its Convergence},
url = {http://eudml.org/doc/276422},
volume = {23},
year = {2015},
}

TY - JOUR
AU - Noboru Endou
TI - Extended Real-Valued Double Sequence and Its Convergence
JO - Formalized Mathematics
PY - 2015
VL - 23
IS - 3
SP - 253
EP - 277
AB - In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In addition, we also prove Fatou’s lemma and the monotone convergence theorem for double sequences.
LA - eng
KW - double sequence; Fatou’s lemma for double sequence; monotone convergence theorem for double sequence; Fatou's lemma for double sequence
UR - http://eudml.org/doc/276422
ER -

References

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