Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 932734, 13 pages
doi:10.1155/2009/932734
Research Article

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

Necip Şimşek1 and Vatan Karakaya2

1Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040 Adıyaman, Turkey
2Department of Mathematical Engineering, Yıldız Technical University, Davutpasa Campus, Esenler, 80750 İstanbul, Turkey

Received 4 April 2009; Accepted 19 June 2009

Academic Editor: A. Laforgia

Copyright © 2009 Necip Şimşek and Vatan Karakaya. 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.

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 (H) and uniform Opial properties of this sequence space on Köthe sequence spaces.