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

S. S. Dragomir

Resumen


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.


Palabras clave


Operator convex functions; Convex functions; Power function; Logarithmic function; Exponential function.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172017000100005

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