Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 539745, 10 pages
doi:10.1155/2011/539745
Research Article

A New Class of Sequences Related to the 𝑙 𝑝 Spaces Defined by Sequences of Orlicz Functions

Naim L. Braha

Department of Mathematics and Computer Sciences, University of Prishtina, Avenue Mother Theresa, 5, Prishtinë 10000, Kosovo

Received 5 November 2010; Revised 10 February 2011; Accepted 18 February 2011

Academic Editor: S. S. Dragomir

Copyright © 2011 Naim L. Braha. 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

We introduce new sequence space 𝑚 ( 𝑀 , 𝜙 , 𝑞 , Λ ) defined by combining an Orlicz function, seminorms, and 𝜆 -sequences. We study its different properties and obtain some inclusion relation involving the space 𝑚 ( 𝑀 , 𝜙 , 𝑞 , 𝜆 ) . Inclusion relation between statistical convergent sequence spaces and Cesaro statistical convergent sequence spaces is also given.