- Research Article
- Open Access
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
© N. Şimşek and V. Karakaya. 2009
- 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.
Keywords
- Modular Space
- Geometrical Property
- Sequence Space
- Opial Property
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Authors’ Affiliations
(1)
Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040 Adıyaman, Turkey
(2)
Department of Mathematical Engineering, Yıldız Technical University, Davutpasa Campus, Esenler, 80750, İstanbul, Turkey
Copyright
© 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.
