Open AccessSequence spaces defined by a sequence of modulus functions and χ-nearly convergence
Author(s) -
Virge Soomer
Publication year - 1999
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.1999.03.05
Subject(s) - sequence (biology) , convergence (economics) , modulo operation , mathematics , modulus , sequence space , combinatorics , space (punctuation) , limit of a sequence , discrete mathematics , mathematical analysis , algorithm , geometry , computer science , banach space , chemistry , biochemistry , limit (mathematics) , economics , economic growth , operating system
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).