On strong almost convergence and uniform statistical convergence

Name: On strong almost convergence and uniform statistical convergence
Creator: Pehlivan, Serpil
Keywords: Orlicz function, Convergence and divergence of series and sequences, Special methods of summability, strong almost convergence, Absolute and strong summability, uniformly statistically null sequence

descriptionPublicationkeyboard_double_arrow_right Article 31 Dec 1998Publisher:University of TartuJournal:Acta et Commentationes Universitatis Tartuensis de Mathematica, volume 2, pages 19-22 (issn: 1406-2283, eissn: 2228-4699,

Authors: Pehlivan, Serpil;

doi: 10.12697/acutm.1998.02.03

On strong almost convergence and uniform statistical convergence

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Abstract

The definition of strong almost convergence is extended to a definition of strong almost convergence with respect to an Orlicz function. It is shown that every bounded uniformly statistically null sequence is also strongly almost convergent to zero with respect to any Orlicz function.

Related Organizations

Simon Diedong Dombo University of Business and Integrated Development Studies
Ghana

Keywords

Orlicz function, Convergence and divergence of series and sequences, Special methods of summability, strong almost convergence, Absolute and strong summability, uniformly statistically null sequence

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