Matrix Inequalities for Convex Functions
Many converses of Jensen's inequality for convex functions can be found in the literature. Here we give matrix versions, with matrix weights, of these inequalities. Some applications to the Hadamard product of matrices are also given.
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| Veröffentlicht in: | Journal of mathematical analysis and applications 1997-05, Vol.209 (1), p.147-153 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Many converses of Jensen's inequality for convex functions can be found in the literature. Here we give matrix versions, with matrix weights, of these inequalities. Some applications to the Hadamard product of matrices are also given. |
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| ISSN: | 0022-247X 1096-0813 |
| DOI: | 10.1006/jmaa.1997.5353 |