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Inequalities of convex functions and self-adjoint operators - MaRDI portal

Inequalities of convex functions and self-adjoint operators (Q472531)

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scientific article; zbMATH DE number 6371138
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Inequalities of convex functions and self-adjoint operators
scientific article; zbMATH DE number 6371138

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    Inequalities of convex functions and self-adjoint operators (English)
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    19 November 2014
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    Summary: The paper offers generalizations of the Jensen-Mercer inequality for self-adjoint operators and generally convex functions. The obtained results are applied to define the quasi-arithmetic operator means without using operator convexity. The version of the harmonic-geometric-arithmetic operator mean inequality is derived as an example.
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