Asymptotic Equivalence of Double Sequences ABSTRACT | FULL TEXT
Year 2012,
Volume: 41 Issue: 4, 487 - 497, 01.04.2012
Richard F. Patterson
ekrem Savas
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
Richard F. Patterson
ekrem Savas
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,
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