International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 2, Pages 103-109
The Abel-type transformations into
Savannah State University, Savannah 31404, GA, USA
Received 16 January 2001
Copyright © 2001 Mulatu Lemma and George Tessema. 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.
The Abel-type matrix was introduced and studied as a mapping into by Lemma (1999). The purpose of this paper is to study these transformations as mappings into . The necessary and sufficient conditions for to be - are established. The strength of in the - setting is investigated. Also, it is shown that is translative in the - senses for certain sequences.