The Abel-type transformations into Gw

The Abel-type transformations into Gw

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 invest...

Full description

Bibliographic Details
Main Authors: Mulatu Lemma, George Tessema
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006512
id doaj-18e1580106184a93962ef56348d5d5fa
record_format Article
spelling doaj-18e1580106184a93962ef56348d5d5fa2020-11-24T22:57:51ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128210310910.1155/S0161171201006512The Abel-type transformations into GwMulatu Lemma0George Tessema1Savannah State University, Savannah, GA 31404, USASavannah State University, Savannah, GA 31404, USAThe 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.http://dx.doi.org/10.1155/S0161171201006512
collection DOAJ
language English
format Article
sources DOAJ
author Mulatu Lemma
George Tessema
spellingShingle Mulatu Lemma
George Tessema
The Abel-type transformations into Gw
International Journal of Mathematics and Mathematical Sciences
author_facet Mulatu Lemma
George Tessema
author_sort Mulatu Lemma
title The Abel-type transformations into Gw
title_short The Abel-type transformations into Gw
title_full The Abel-type transformations into Gw
title_fullStr The Abel-type transformations into Gw
title_full_unstemmed The Abel-type transformations into Gw
title_sort abel-type transformations into gw
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2001-01-01
description 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.
url http://dx.doi.org/10.1155/S0161171201006512
work_keys_str_mv AT mulatulemma theabeltypetransformationsintogw
AT georgetessema theabeltypetransformationsintogw
AT mulatulemma abeltypetransformationsintogw
AT georgetessema abeltypetransformationsintogw
_version_ 1725648950276390912

Similar Items