Convexity preserving summability matrices
The main result of this paper gives the necessary and sufficient conditions for the Abel matrices to preserve the convexity of sequences. Also, the higher orders of the Cesáro method are shown to be convexity-preserving matrices.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000722 |
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| _version_ | 1832559862743040000 |
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| author | C. R. Selvaraj |
| author_facet | C. R. Selvaraj |
| author_sort | C. R. Selvaraj |
| collection | DOAJ |
| description | The main result of this paper gives the necessary and sufficient conditions for the Abel matrices to preserve the convexity of sequences. Also, the higher orders of the Cesáro method are shown to be convexity-preserving matrices. |
| format | Article |
| id | doaj-art-ce465bea3c44481088f489c7a69a3def |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ce465bea3c44481088f489c7a69a3def2025-02-03T01:29:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113350150610.1155/S0161171290000722Convexity preserving summability matricesC. R. Selvaraj0Pennsylvania State University, Shenango Valley Campus, 147 Shenango Avenue, Sharon 16146, PA, USAThe main result of this paper gives the necessary and sufficient conditions for the Abel matrices to preserve the convexity of sequences. Also, the higher orders of the Cesáro method are shown to be convexity-preserving matrices.http://dx.doi.org/10.1155/S0161171290000722convex sequencesconvexity-preserving matricesdomain of a matrix. |
| spellingShingle | C. R. Selvaraj Convexity preserving summability matrices International Journal of Mathematics and Mathematical Sciences convex sequences convexity-preserving matrices domain of a matrix. |
| title | Convexity preserving summability matrices |
| title_full | Convexity preserving summability matrices |
| title_fullStr | Convexity preserving summability matrices |
| title_full_unstemmed | Convexity preserving summability matrices |
| title_short | Convexity preserving summability matrices |
| title_sort | convexity preserving summability matrices |
| topic | convex sequences convexity-preserving matrices domain of a matrix. |
| url | http://dx.doi.org/10.1155/S0161171290000722 |
| work_keys_str_mv | AT crselvaraj convexitypreservingsummabilitymatrices |