Asymptotic equivalence of sequences and summability.
Li, Jinlu (1997)
International Journal of Mathematics and Mathematical Sciences
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Li, Jinlu (1997)
International Journal of Mathematics and Mathematical Sciences
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Fridy, J.A. (1997)
International Journal of Mathematics and Mathematical Sciences
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Fridy, J.A. (1978)
International Journal of Mathematics and Mathematical Sciences
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Li, Jinlu (2000)
International Journal of Mathematics and Mathematical Sciences
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Keagy, T.A. (1981)
International Journal of Mathematics and Mathematical Sciences
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F. M. Khan, M. Riazuddin (1979)
Matematički Vesnik
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Kline, Jeannette (1995)
International Journal of Mathematics and Mathematical Sciences
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Ekrem Savaş, Richard Patterson (2006)
Open Mathematics
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This paper presents the following definitions which is a natural combination of the definition for asymptotically equivalent, statistically limit, lacunary sequences, and σ-convergence. Let ϑ be a lacunary sequence; Two nonnegative sequences [x] and [y] are S σ,8-asymptotically equivalent of multiple L provided that for every ε > 0 uniformly in m = 1, 2, 3, ..., (denoted by x y) simply S σ,8-asymptotically equivalent, if L = 1. Using this definition we shall prove S σ,8-asymptotically...
Lemma, Mulatu (2000)
International Journal of Mathematics and Mathematical Sciences
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Tripathy, B.C. (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Włodzimierz Łenski, Bogdan Szal (2008)
Banach Center Publications
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Under some assumptions on the matrix of a summability method, whose rows are sequences of bounded variation, we obtain a generalization and an improvement of some results of Xie-Hua Sun and L. Leindler.
Eberhard Malkowsky (1997)
Matematički Vesnik
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