Geodesic
Ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 77-88

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We prove ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces.
Classification : 40E05, 47A35
Keywords: ratio Tauberian theorem; $\gamma$-th order Cesàro integral; Laplace integral; $\gamma$-th order Cesàro sum; Abel sum 
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     title = {Ratio {Tauberian} theorems for relatively bounded functions and sequences in {Banach} spaces},
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Sato, Ryotaro. Ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 77-88. http://geodesic.mathdoc.fr/item/CMUC_2011__52_1_a5/