International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 3, Pages 197-204

Abel-type weighted means transformations into

Mulatu Lemma and George Tessema

Savannah State University, Savannah 31404, Georgia, USA

Received 15 July 1999

Copyright © 2000 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.


Let qk=(k+αk) for α>1 and Qn=k=0nqk. Suppose Aq={ank}, where ank=qk/Qn for 0kn and 0 otherwise. Aq is called the Abel-type weighted mean matrix. The purpose of this paper is to study these transformations as mappings into . A necessary and sufficient condition for Aq to be - is proved. Also some other properties of the Aq matrix are investigated.