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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006512 |
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| _version_ | 1832564312183406592 |
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| author | Mulatu Lemma George Tessema |
| author_facet | Mulatu Lemma George Tessema |
| author_sort | Mulatu Lemma |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-18e1580106184a93962ef56348d5d5fa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-18e1580106184a93962ef56348d5d5fa2025-02-03T01:11:19ZengWileyInternational 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 |
| spellingShingle | Mulatu Lemma George Tessema The Abel-type transformations into Gw International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | The Abel-type transformations into Gw |
| title_sort | abel type transformations into gw |
| url | http://dx.doi.org/10.1155/S0161171201006512 |
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