engleski

Extension of the refined Jensen's operator inequality with condition on spectra

We give an extension of the refined Jensen's operator inequality for n-tuples of self-adjoint operators, unital n-tuples of positive linear mappings and real valued continuous convex functions with conditions on the spectra of the operators. We also study the order among quasi- arithmetic means under similar conditions.

self-adjoint operator ; positive linear mapping ; convex function ; Jensen's operator inequality ; quasi-arithmetic mean

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