On Zweier Sequence Spaces and de la Vall\'{e}e-Poussin mean of order $\alpha$-Reference-Cited by-同舟云学术

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

Published:2015-07-13 Issue:2 Volume:34 Page:189-195
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Hazarika Bipan¹^ORCID,Tamang Karan²

Affiliation:

1. Rajiv Gandhi University

2. North Eastern Regional Institute of Science and Technology

Abstract

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 $[\mathcal{Z}_{\lambda}^{\alpha}]_{\infty}(p).$

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference22 articles.

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3. 3. R. Çolak, Statistical Convergence of Order , Modern Methods in Analysis and Its Applications, pp. 121-129. Anamaya Pub., New Delhi (2010)

4. 4. Y. A. Cui, H. Hudzik, On the Banach-Saks and weak Banach-Saks properties of some Bannach sequence spaces, Acta Sci. Math.(Szeged), 65(1999), 179-187.

5. 5. J. Diestel, Sequence and Series in Banach spaces, in Graduate Texts in Math., Vol. 92, Springer-Verlag,1984.

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