Asymptotic equivalence and summability

Mousa S. Marouf

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-8

Abstract:

This paper is a study of the relatioship. between the asymptotic equivalence of two sequences ( lim n x n / y n = 1 ) and three variatious of this equivalence for a sequence-to-sequence transformation A , the three variations are give by the ratios R m A x / R m A y . S m A x / S m A y , And μ m A x / μ m A y , where R m A z : = ∑ n ≥ m | ( A z ) n | , S m A z : = ∑ n ≤ m | ( A z ) n | , and μ m A z : = sup n ≥ m | ( A z ) n | .

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:970869

DOI: 10.1155/S0161171293000948

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