文章基本信息
- 标题：Asymptotic equivalence of sequences and summability
- 本地全文：下载
- 作者：Jinlu Li
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1997
- 卷号：20
- 期号：4
- 页码：749-757
- DOI：10.1155/S0161171297001038
- 出版社：Hindawi Publishing Corporation
- 摘要：
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 .
