A condition under which slow oscillation of a sequence follows from Cesàro summability of its generator sequence

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摘要

In this paper we retrieve slow oscillation of a real sequence from Cesàro summability of its generator sequence under some one-sided condition.

论文关键词：Tauberian theorems and conditions,Cesàro summability,General control modulo,Deferred Cesàro means

论文评审过程：Available online 17 March 2010.

论文官网地址：https://doi.org/10.1016/j.amc.2010.03.017