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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Autor principal:	Dragomir,S. S
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2017
Materias:	Operator convex functions Convex functions Power function Logarithmic function Exponential function
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100005
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spelling	oai:scielo:S0716-091720170001000052017-02-13A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear mapsDragomir,S. S Operator convex functions Convex functions Power function Logarithmic function Exponential function 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.1 20172017-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100005en10.4067/S0716-09172017000100005
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Operator convex functions Convex functions Power function Logarithmic function Exponential function
spellingShingle	Operator convex functions Convex functions Power function Logarithmic function Exponential function Dragomir,S. S A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
description	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.
author	Dragomir,S. S
author_facet	Dragomir,S. S
author_sort	Dragomir,S. S
title	A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
title_short	A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
title_full	A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
title_fullStr	A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
title_full_unstemmed	A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
title_sort	weakened version of davis-choi-jensen’s inequality for normalised positive linear maps
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100005
work_keys_str_mv	AT dragomirss aweakenedversionofdavischoijensen8217sinequalityfornormalisedpositivelinearmaps AT dragomirss weakenedversionofdavischoijensen8217sinequalityfornormalisedpositivelinearmaps
_version_	1718439820632522752

A weakened version of Davis-Choi-Jensen&#8217;s inequality for normalised positive linear maps

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A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps