Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean
The purpose of this paper is to generalize the concept of almost convergence for double sequence through the notion of de la Vallée-Poussin mean for double sequences. We also define and characterize the generalized regularly almost conservative and almost coercive four-dimensional matrices. Further,...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/412974 |
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| author | S. A. Mohiuddine Abdullah Alotaibi |
| author_facet | S. A. Mohiuddine Abdullah Alotaibi |
| author_sort | S. A. Mohiuddine |
| collection | DOAJ |
| description | The purpose of this paper is to generalize the concept of almost convergence for double sequence through the notion of de la Vallée-Poussin mean for double sequences. We also define and characterize the generalized regularly almost conservative and almost coercive four-dimensional matrices. Further, we characterize the infinite matrices which transform the sequence belonging to the space of absolutely convergent double series into the space of generalized almost convergence. |
| format | Article |
| id | doaj-art-34d861c48ae448f2a3f5435c0b3f7a0c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-34d861c48ae448f2a3f5435c0b3f7a0c2025-02-03T01:09:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/412974412974Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin MeanS. A. Mohiuddine0Abdullah Alotaibi1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe purpose of this paper is to generalize the concept of almost convergence for double sequence through the notion of de la Vallée-Poussin mean for double sequences. We also define and characterize the generalized regularly almost conservative and almost coercive four-dimensional matrices. Further, we characterize the infinite matrices which transform the sequence belonging to the space of absolutely convergent double series into the space of generalized almost convergence.http://dx.doi.org/10.1155/2014/412974 |
| spellingShingle | S. A. Mohiuddine Abdullah Alotaibi Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean Abstract and Applied Analysis |
| title | Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean |
| title_full | Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean |
| title_fullStr | Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean |
| title_full_unstemmed | Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean |
| title_short | Almost Conservative Four-Dimensional Matrices through de la Vallée-Poussin Mean |
| title_sort | almost conservative four dimensional matrices through de la vallee poussin mean |
| url | http://dx.doi.org/10.1155/2014/412974 |
| work_keys_str_mv | AT samohiuddine almostconservativefourdimensionalmatricesthroughdelavalleepoussinmean AT abdullahalotaibi almostconservativefourdimensionalmatricesthroughdelavalleepoussinmean |