International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 15, Pages 2441-2445
doi:10.1155/IJMMS.2005.2441

Mr-factors and Qr-factors for near quasinorm on certain sequence spaces

Piyapong Niamsup1 and Yongwimon Lenbury2

1Department of Mathematics, Faculty of Science, Chiangmai University, Chiangmai 50200, Thailand
2Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand

Received 15 July 2004; Revised 20 June 2005

Copyright © 2005 Piyapong Niamsup and Yongwimon Lenbury. 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 study the multiplicativity factor and quadraticity factor for near quasinorm on certain sequence spaces of Maddox, namely, l(p) and l∞(p), where p=(pk) is a bounded sequence of positive real numbers.