On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$

On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$

The main purpose of this paper is to study some geometrical properties such as order continuous, the Fatou property and the Banach-Saks property of the new space $[\mathcal{Z}_{\lambda}^{\alpha}]_{\infty}(p).$

Bibliographic Details
Main Authors: Bipan Hazarika, Karan Tamang
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2016-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Zweier operator
order continuous
Fatou property
Banach-Saks property
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/25825
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spelling doaj-1f8f8cb4246442078284b88af7ede1a92020-11-24T21:36:22ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882016-07-0134218919510.5269/bspm.v34i2.2582512613On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$Bipan Hazarika0Karan Tamang1Rajiv Gandhi University Department of MathematicsNorth Eastern Regional Institute of Science and Technology Department of MathematicsThe main purpose of this paper is to study some geometrical properties such as order continuous, the Fatou property and the Banach-Saks property of the new space $[\mathcal{Z}_{\lambda}^{\alpha}]_{\infty}(p).$http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/25825Zweier operatororder continuousFatou propertyBanach-Saks property
collection DOAJ
language English
format Article
sources DOAJ
author Bipan Hazarika
Karan Tamang
spellingShingle Bipan Hazarika
Karan Tamang
On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$
Boletim da Sociedade Paranaense de Matemática
Zweier operator
order continuous
Fatou property
Banach-Saks property
author_facet Bipan Hazarika
Karan Tamang
author_sort Bipan Hazarika
title On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$
title_short On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$
title_full On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$
title_fullStr On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$
title_full_unstemmed On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$
title_sort on zweier sequence spaces and de la vall\'{e}e-poussin mean of order $\alpha$
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2016-07-01
description The main purpose of this paper is to study some geometrical properties such as order continuous, the Fatou property and the Banach-Saks property of the new space $[\mathcal{Z}_{\lambda}^{\alpha}]_{\infty}(p).$
topic Zweier operator
order continuous
Fatou property
Banach-Saks property
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/25825
work_keys_str_mv AT bipanhazarika onzweiersequencespacesanddelavalleepoussinmeanoforderalpha
AT karantamang onzweiersequencespacesanddelavalleepoussinmeanoforderalpha
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