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Open Access

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

Journal of Inequalities and Applications20092009:932734

Received: 4 April 2009

Accepted: 19 June 2009

Published: 20 July 2009


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.


Modular SpaceGeometrical PropertySequence SpaceOpial PropertyFull Article

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Authors’ Affiliations

Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, Adıyaman, Turkey
Department of Mathematical Engineering, Yıldız Technical University, Esenler, Turkey


© N. Şimşek and V. Karakaya. 2009

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.