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  • Research Article
  • 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:


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 Space
  • Geometrical Property
  • Sequence Space
  • Opial Property
  • Full Article

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Authors’ Affiliations

Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040 Adıyaman, Turkey
Department of Mathematical Engineering, Yıldız Technical University, Davutpasa Campus, Esenler, 80750, İstanbul, 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.