@MISC{DBLSEQ_3.MIZ,
  AUTHOR = {Endou, Noboru},
  TITLE = {Extended Real Valued Double Sequence and Its Convergence},
  DAY = {1},
  MONTH = {July},
  YEAR = {2015},
  ADDRESS1 = {Gifu National College of Technology\\ 2236-2 Kamimakuwa, Motosu, Gifu, Japan},
  SECTION1 = {Preliminaries},
  SECTION2 = {Subsequences of convergent extended real valued sequences},
  SECTION3 = {Convergency for extended real valued double sequences},
  SECTION4 = {Nonnegative extended real valued double sequences},
  SECTION5 = {Pringsheim sense convergence for extended real
    valued double sequences},
  SUMMARY = {In this article we introduce some convergence for
  an extended real-valued double sequence \cite{FOLLAND}, \cite{GARLING:1}.
  They are similar to our previous articles \cite{DBLSEQ_1.ABS},
  \cite{DBLSEQ_2.ABS}.
  In addition, we also prove the Fatou's lemma and the monotone
  convergence theorem for double sequences.},
  NOTE = {This work was supported by JSPS KAKENHI 23500029.}}

@BOOK{FOLLAND,
  AUTHOR={Folland, Gerald B.},
  TITLE={Real Analysis: Modern Techniques and Their Applications},
  PUBLISHER={Wiley},
  YEAR={1999},
  EDITION={2}}

@BOOK{GARLING:1,
  AUTHOR={Garling, D.J.H.},
  TITLE={A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis},
  PUBLISHER={Cambridge University Press},
  YEAR={2013}
  VOLUME={1}}
