The Abel‐type transformations into Gw
Mulatu Lemma, George Tessema · International Journal of Mathematics and Mathematical Sciences · 2001
The Abel‐type matrix Aα,t was introduced and studied as a mapping into ℓ by Lemma (1999). The purpose of this paper is to study these transformations as mappings into Gw. The necessary and sufficient conditions for Aα,t to be Gw‐Gw are established. The strength of Aα,t in the Gw‐Gw setting is investigated. Also, it is shown that Aα,t is translative in the Gw‐Gw senses for certain sequences.