Inclusion relations between the statistical convergence and strong summability

  • Enno Kolk University of Tartu
Keywords: statistical convergence, modulus function, strong summability with respect to a sequence of modulus functions

Abstract

For a sequential method of summability B we define B-density and B-statistical convergence in a Banach space X, and investigate inclusion relations between the space of B-statistically convergent sequences and the space of strongly B-summable sequences with respect to a sequence of modulus functions F=(fk). As an application, two theorems of Pehlivan and Fisher [27] are corrected.

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Author Biography

Enno Kolk, University of Tartu

Institute of Pure Mathematics

Published
1998-12-31
Section
Articles