Sequence spaces defined by a sequence of modulus functions and χ-nearly convergence

  • Virge Soomer University of Tartu
Keywords: modulus function, χ-nearly convergence, strong summability

Abstract

Let E be a sequence space an let F=(fk) be a sequence of modulus functions. For x=(ξk) ∈ E define F(x) = (fk(|ξk|)). The purpose of this paper is to investigate relations between the inclusion F(x) ∈ E and the χ-nearly convergence of the sequences x and F(x).

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Author Biography

Virge Soomer, University of Tartu

Institute of Pure Mathematics

Published
1999-12-31
Section
Articles