Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 131240, 14 pages
doi:10.1155/2011/131240
Research Article

Size of Convergence Domains for Generalized Hausdorff Prime Matrices

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 8 December 2010; Accepted 2 March 2011

Academic Editor: Q. Lan

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 exit E-J generalized Hausdorff matrices and unbounded sequences 𝑥 such that each matrix has convergence domain 𝑐 ⊕ 𝑥 .