Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 81028, 8 pages
Research Article

Some Geometric Properties of Sequence Spaces Involving Lacunary Sequence

Vatan Karakaya

Department of Mathematics, Education Faculty, Adıyaman University, Adıyaman 3002, Turkey

Received 27 August 2007; Accepted 30 October 2007

Academic Editor: Narendra Kumar K. Govil

Copyright © 2007 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.


We introduce new sequence space involving lacunary sequence connected with Cesaro sequence space and examine some geometric properties of this space equipped with Luxemburg norm.