Abel-type weighted means transformations into ℓ
Let qk=(k+α k) for α>−1 and Qn=∑k=0nqk. Suppose Aq={ank}, where ank=qk/Qn for 0≤k≤n 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 ℓ. A necessary and sufficient condition for Aq to be ℓ-ℓ is proved....
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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/S0161171200003811 |
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| author | Mulatu Lemma George Tessema |
| author_facet | Mulatu Lemma George Tessema |
| author_sort | Mulatu Lemma |
| collection | DOAJ |
| description | Let qk=(k+α k) for α>−1 and Qn=∑k=0nqk. Suppose Aq={ank}, where ank=qk/Qn for 0≤k≤n 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 ℓ. A necessary and sufficient condition for Aq to be ℓ-ℓ is proved. Also some other properties of the Aq matrix are investigated. |
| format | Article |
| id | doaj-art-d261f01dabea4e399748220681a18ddf |
| 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-d261f01dabea4e399748220681a18ddf2025-02-03T07:26:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123319720410.1155/S0161171200003811Abel-type weighted means transformations into ℓMulatu Lemma0George Tessema1Savannah State University, Savannah, Georgia 31404, USASavannah State University, Savannah, Georgia 31404, USALet qk=(k+α k) for α>−1 and Qn=∑k=0nqk. Suppose Aq={ank}, where ank=qk/Qn for 0≤k≤n 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 ℓ. A necessary and sufficient condition for Aq to be ℓ-ℓ is proved. Also some other properties of the Aq matrix are investigated.http://dx.doi.org/10.1155/S0161171200003811ℓ-ℓ methodsG-G methodsGw-Gw methods. |
| spellingShingle | Mulatu Lemma George Tessema Abel-type weighted means transformations into ℓ International Journal of Mathematics and Mathematical Sciences ℓ-ℓ methods G-G methods Gw-Gw methods. |
| title | Abel-type weighted means transformations into ℓ |
| title_full | Abel-type weighted means transformations into ℓ |
| title_fullStr | Abel-type weighted means transformations into ℓ |
| title_full_unstemmed | Abel-type weighted means transformations into ℓ |
| title_short | Abel-type weighted means transformations into ℓ |
| title_sort | abel type weighted means transformations into l |
| topic | ℓ-ℓ methods G-G methods Gw-Gw methods. |
| url | http://dx.doi.org/10.1155/S0161171200003811 |
| work_keys_str_mv | AT mulatulemma abeltypeweightedmeanstransformationsintol AT georgetessema abeltypeweightedmeanstransformationsintol |