Abstract and Applied Analysis
Volume 2011 (2011), Article ID 527360, 5 pages
http://dx.doi.org/10.1155/2011/527360
Research Article

Some E-J Generalized Hausdorff Matrices Not of Type 𝑀

T. Selmanogullari,1 E. Savaş,2 and B. E. Rhoades3

1Department of Mathematics, Mimar Sinan Fine Arts University, Besiktas, 34349 Istanbul, Turkey
2Department of Mathematics, Istanbul Commerce University, Uskudar, 34672 Istanbul, Turkey
3Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

Received 23 April 2011; Accepted 4 August 2011

Academic Editor: Alberto d'Onofrio

Copyright © 2011 T. Selmanogullari et al. 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 show that there exists a regular E-J generalized Hausdorff matrix which has no zero elements on the main diagonal and which is not of type 𝑀 and establish several other related theorems.