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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
Journal Section Mathematics
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, . (2012). Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 41(4), 487-497.
AMA Patterson RF, Savas . Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. April 2012;41(4):487-497.
Chicago Patterson, Richard F., and  ekrem Savas. “Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41, no. 4 (April 2012): 487-97.
EndNote Patterson RF, Savas  (April 1, 2012) Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 41 4 487–497.
IEEE R. F. Patterson and  . Savas, “Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 4, pp. 487–497, 2012.
ISNAD Patterson, Richard F. - Savas, ekrem. “Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41/4 (April 2012), 487-497.
JAMA Patterson RF, Savas . 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, 2012, pp. 487-9.
Vancouver Patterson RF, Savas . Asymptotic Equivalence of Double Sequences  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41(4):487-9.