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Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences |
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| Authors: | Jeng-Chung Chen Ryotaro Sato |
| Affiliation: | a Department of Applied Mathematics, National Hsin-Chu University of Education, Hsin-Chu 300, Taiwan b Department of Mathematics, Okayama University, Okayama 700-8530, Japan |
| Abstract: | 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. |
| Keywords: | γ-Cesà ro mean Abel mean Ratio limit theorem Ratio Tauberian theorem |
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