The ℓ-translativity of Abel-type matrix
Lemma introduced the Abel-type matrix Aα,t defined by ank=(k+α k)tnk+1(1−tn)α+1, where α>−1, 0<tn<1, for all n, and limtn=1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its translativity in the ℓ-ℓ setting.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200002520 |
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| author | Mulatu Lemma |
| author_facet | Mulatu Lemma |
| author_sort | Mulatu Lemma |
| collection | DOAJ |
| description | Lemma introduced the Abel-type matrix Aα,t defined by ank=(k+α k)tnk+1(1−tn)α+1, where α>−1, 0<tn<1, for all n, and limtn=1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its
translativity in the ℓ-ℓ setting. |
| format | Article |
| id | doaj-art-e44579969cca4c95ab2040be3d5f4728 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e44579969cca4c95ab2040be3d5f47282025-02-03T01:27:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123318919510.1155/S0161171200002520The ℓ-translativity of Abel-type matrixMulatu Lemma0Department of Mathematics, Savannah State University, Savannah, Georgia 31404, USALemma introduced the Abel-type matrix Aα,t defined by ank=(k+α k)tnk+1(1−tn)α+1, where α>−1, 0<tn<1, for all n, and limtn=1; and studied it as mappings into ℓ. In this paper, we extend our study of this matrix and investigate its translativity in the ℓ-ℓ setting.http://dx.doi.org/10.1155/S0161171200002520ℓ-ℓ methodℓ-translativeAbel-type power series methodAbel-type matrix. |
| spellingShingle | Mulatu Lemma The ℓ-translativity of Abel-type matrix International Journal of Mathematics and Mathematical Sciences ℓ-ℓ method ℓ-translative Abel-type power series method Abel-type matrix. |
| title | The ℓ-translativity of Abel-type matrix |
| title_full | The ℓ-translativity of Abel-type matrix |
| title_fullStr | The ℓ-translativity of Abel-type matrix |
| title_full_unstemmed | The ℓ-translativity of Abel-type matrix |
| title_short | The ℓ-translativity of Abel-type matrix |
| title_sort | l translativity of abel type matrix |
| topic | ℓ-ℓ method ℓ-translative Abel-type power series method Abel-type matrix. |
| url | http://dx.doi.org/10.1155/S0161171200002520 |
| work_keys_str_mv | AT mulatulemma theltranslativityofabeltypematrix AT mulatulemma ltranslativityofabeltypematrix |