A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
In this paper we show that the celebrated Davis-Choi-Jensen’s inequality for normalised positive linear maps can be extended in a weakened form for convex functions. A reverse inequality and applications for important instances of convex (concave) functions are also given.
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2017
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100005 |
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| Sumario: | In this paper we show that the celebrated Davis-Choi-Jensen’s inequality for normalised positive linear maps can be extended in a weakened form for convex functions. A reverse inequality and applications for important instances of convex (concave) functions are also given. |
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