A unified theory of regularly varying sequences
A unified theory of regularly varying sequences
复制标题
规则变化序列的统一理论
DOI：
10.1007/bf01214468
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发表时间：
1973
期刊：
影响因子：
--
通讯作者：
E. Seneta
中科院分区：
文献类型：
--
作者：
R. Bojanić;E. Seneta
规则变化序列理论的要素在 Polya [-12] 和 Schmidt [-13] 的论文中已经很明显，这在一定程度上指导了 Karamata [7,8,9] 规则变化序列和函数理论的发展。根据 [, 7] 中 Karamata 的定义，正数序列 I (c (n)) 是规则变化的，如果对于某些 p~(-1, oe)， lim cl~ k~=" lc (k)= 1(1.1),-~ on p+ l
Elements of a theory of regularly varying sequences were already apparent in the papers of Polya [-12] and Schmidt [-13], which to some extent guided Karamata [7, 8, 9] in his development of the theory of regularly varying sequences and functions. According to Karamata's definition in [, 7], a sequence I of positive numbers (c (n)) is regularly varying if, for some p~(-1, oe), lim cl~ k~=" lc (k)= 1(1.1),-~ on p+ l