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Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence


Citation

Raj, Kuldip and Kilicman, Adem (2018) Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence. New Trends in Mathematical Sciences, 6 (1). 212 - 226. ISSN 2147-5520

Abstract

In the present work we introduce and study some strongly convergent sequence spaces of Orlicz functions using infinite matrix over n-normed spaces. We study some algebraic and topological properties ofthese sequence spaces. A necessary and sufficient condition for strongly convergent sequences is obtained. Finally, we study some applications of these sequences for Fourier series and statistical convergence.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.20852/ntmsci.2018.263
Publisher: Yildiz Technical University
Keywords: Orlicz function; Paranorm space; Λ2-strongly convergent; Statistical convergent; n-normed spaces.
Depositing User: Mr. Sazali Mohamad
Date Deposited: 08 Sep 2021 05:38
Last Modified: 08 Sep 2021 05:38
Altmetrics: http://www.altmetrics.com/details.php?domain=pasir.upm.edu.my&doi=10.20852/ntmsci.2018.263
URI: http://psasir.upm.edu.my/id/eprint/75175
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