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Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences
期刊文章

Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences

Jeng-Chung Chen 和 Ryotaro Sato
Journal of Mathematical Analysis and Applications, 卷.367(1), 頁碼.108-115
07/2010
DOI: https://doi.org/10.1016/j.jmaa.2009.12.047

摘要

γ-Cesàro mean Abel mean Ratio limit theorem Ratio Tauberian theorem Analysis Applied Mathematics
We prove ratio limit theorems for (C, γ)-means (γ ≥ 0) and Abel means of functions and sequences in Banach spaces, and ratio Tauberian theorems for (C, γ)-means (γ ≥ 1) and Abel means of functions and sequences in Banach lattices. © 2009 Elsevier Inc. All rights reserved.

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