Tauberian theorems for Bonsall core in sequence spaces

Authors

  • Leiki Loone University of Tartu
  • Anne Tali Tallinn Pedagogical University

DOI:

https://doi.org/10.12697/ACUTM.2001.05.07

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.

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Author Biographies

Leiki Loone, University of Tartu

Institute of Pure Mathematics

Anne Tali, Tallinn Pedagogical University

Department of Mathematics

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Published

2001-12-31

Issue

Vol. 5 (2001)

Section

Articles