On Some Geometrical Properties of Generalized Modular Spaces of Cesáro Type Defined by Weighted Means

Necip Şimşek; Vatan Karakaya

doi:10.1155/2009/932734

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Research Article

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On Some Geometrical Properties of Generalized Modular Spaces of Cesáro Type Defined by Weighted Means

Necip Şimşek¹Email author and
Vatan Karakaya²

Journal of Inequalities and Applications20092009:932734

https://doi.org/10.1155/2009/932734

Received: 4 April 2009

Accepted: 19 June 2009

Published: 20 July 2009

Abstract

The main purpose of this paper is to introduce modular structure of the sequence space defined by Altay and Başar (2007), and to study Kadec-Klee ( ) and uniform Opial properties of this sequence space on Köthe sequence spaces.

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Authors’ Affiliations

(1)

Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University

(2)

Department of Mathematical Engineering, Yıldız Technical University

Copyright

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.