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.
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
Keywords: ratio Tauberian theorem; $\gamma$-th order Cesàro integral; Laplace integral; $\gamma$-th order Cesàro sum; Abel sum
@article{CMUC_2011_52_1_a5,
author = {Sato, Ryotaro},
title = {Ratio {Tauberian} theorems for relatively bounded functions and sequences in {Banach} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {77--88},
year = {2011},
volume = {52},
number = {1},
mrnumber = {2828369},
zbl = {1240.40025},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2011_52_1_a5/}
}
TY - JOUR AU - Sato, Ryotaro TI - Ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces JO - Commentationes Mathematicae Universitatis Carolinae PY - 2011 SP - 77 EP - 88 VL - 52 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMUC_2011_52_1_a5/ LA - en ID - CMUC_2011_52_1_a5 ER -
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/