Tauberian theorems for Bonsall core in sequence spaces

  • Leiki Loone University of Tartu
  • Anne Tali Tallinn Pedagogical University
Keywords: Bonsall core, Knopp core, matrix method, Riesz means, Tauberian theorem

Abstract

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.

Downloads

Download data is not yet available.

Author Biographies

Leiki Loone, University of Tartu

Institute of Pure Mathematics

Anne Tali, Tallinn Pedagogical University

Department of Mathematics

Published
2001-12-31
Section
Articles