Open AccessTauberian theorems for Bonsall core in sequence spaces
Author(s) -
Leiki Loone,
Anne Tali
Publication year - 2001
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2001.05.07
Subject(s) - abelian and tauberian theorems , sequence (biology) , mathematics , core (optical fiber) , matrix (chemical analysis) , pure mathematics , discrete mathematics , combinatorics , computer science , telecommunications , genetics , materials science , composite material , biology
The authors investigate cores K(x) of sequences x that are defined by different Bonsall functionals π. Two general Tauberian core theorems are proved. These are applied to special functionals π and matrix methods A. Some Tauberian conditions are generated with the theorems.