Asymptotic equivalence of sequences and summability

Jinlu Li

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-9

Abstract:

For a sequence-to-sequence transformation A , let R m A x = ∑ n ≥ m | ( A x ) n | and μ m A x = sup n ≥ m | ( A x ) n | . The purpose of this paper is to study the relationship between the asymptotic equivalence of two sequences ( lim n x n / y n = 1 ) and the variations of asymptotic equivalence based on the ratios R m A x / R m A y and μ m A x / μ m A y .

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:980891

DOI: 10.1155/S0161171297001038

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