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Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT 

Year 2012, Volume: 41 Issue: 4, 487 - 497, 01.04.2012

References

  • Fridy, J. A. Minimal rate of summability, Can. J. Math. XXX (4), 808–816, 1978.
  • Hamilton, H. J. Transformations of multiple sequences, Duke Math. J. 2, 29–60, 1936.
  • Hardy, G. H. Divergent Series (Oxford University Press, London, 1949).
  • Li, J. Asymptotic equivalence of sequences and summability, Internat. J. Math. & Math. Sci. 20 (4), 749–758, 1997.
  • Marouf, M. Summability Matrices that Preserve Various Types of Sequential Equivalence (Kent State University, Mathematics, 1992).
  • Patterson, R. F. Some characterization of asymptotic equivalent double sequences, in press. Patterson, R. F. Rates of convergence for double sequences, Southeast Asian Bull. Math. (3), 469–478, 2002.
  • Patterson, R. F. Analogues of some fundamental theorems of summability theorey, Internat. J. Math. & Math. Sci. 23 (1), 1–9, 2000.
  • Pobyvanets, I. P. Asymptotic equivalence of some linear transformations defined by a non- negative matrix and reduced to generalized equivalence on the sense of Ces`ro and Abel, a Mat. Fiz. 28 (123), 83–87, 1980.
  • Pringsheim, A. Zur theorie der zweifach unendlichen zahlenfolgen, Mathematische Annalen , 289–321, 1900.
  • Robison, G. M. Divergent double sequences and series, Amer. Math. Soc. Trans. 28, 50–73,

Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT 

Year 2012, Volume: 41 Issue: 4, 487 - 497, 01.04.2012

References

  • Fridy, J. A. Minimal rate of summability, Can. J. Math. XXX (4), 808–816, 1978.
  • Hamilton, H. J. Transformations of multiple sequences, Duke Math. J. 2, 29–60, 1936.
  • Hardy, G. H. Divergent Series (Oxford University Press, London, 1949).
  • Li, J. Asymptotic equivalence of sequences and summability, Internat. J. Math. & Math. Sci. 20 (4), 749–758, 1997.
  • Marouf, M. Summability Matrices that Preserve Various Types of Sequential Equivalence (Kent State University, Mathematics, 1992).
  • Patterson, R. F. Some characterization of asymptotic equivalent double sequences, in press. Patterson, R. F. Rates of convergence for double sequences, Southeast Asian Bull. Math. (3), 469–478, 2002.
  • Patterson, R. F. Analogues of some fundamental theorems of summability theorey, Internat. J. Math. & Math. Sci. 23 (1), 1–9, 2000.
  • Pobyvanets, I. P. Asymptotic equivalence of some linear transformations defined by a non- negative matrix and reduced to generalized equivalence on the sense of Ces`ro and Abel, a Mat. Fiz. 28 (123), 83–87, 1980.
  • Pringsheim, A. Zur theorie der zweifach unendlichen zahlenfolgen, Mathematische Annalen , 289–321, 1900.
  • Robison, G. M. Divergent double sequences and series, Amer. Math. Soc. Trans. 28, 50–73,
There are 10 citations in total.

Details

Primary Language Turkish
Authors

Richard F. Patterson This is me

 ekrem Savas This is me

Publication Date April 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 4

Cite

APA Patterson, R. F., & Savas, ekrem. (2012). Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 41(4), 487-497. https://izlik.org/JA46UW87SW
AMA 1.Patterson RF, Savas ekrem. Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41(4):487-497. https://izlik.org/JA46UW87SW
Chicago Patterson, Richard F., and  ekrem Savas. 2012. “Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41 (4): 487-97. https://izlik.org/JA46UW87SW.
EndNote Patterson RF, Savas ekrem (April 1, 2012) Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 41 4 487–497.
IEEE [1]R. F. Patterson and  ekremSavas, “Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 4, pp. 487–497, Apr. 2012, [Online]. Available: https://izlik.org/JA46UW87SW
ISNAD Patterson, Richard F. - Savas, ekrem. “Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41/4 (April 1, 2012): 487-497. https://izlik.org/JA46UW87SW.
JAMA 1.Patterson RF, Savas ekrem. Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41:487–497.
MLA Patterson, Richard F., and  ekrem Savas. “Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 4, Apr. 2012, pp. 487-9, https://izlik.org/JA46UW87SW.
Vancouver 1.Patterson RF, Savas ekrem. Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 Apr. 1;41(4):487-9. Available from: https://izlik.org/JA46UW87SW