Tauberian theorems for Bonsall core in sequence spaces
Keywords:Bonsall core, Knopp core, matrix method, Riesz means, Tauberian theorem
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.