Some Hermite-Hadamard type inequalities for operator convex functions and positive maps (Q2302610)
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| English | Some Hermite-Hadamard type inequalities for operator convex functions and positive maps |
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Some Hermite-Hadamard type inequalities for operator convex functions and positive maps (English)
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26 February 2020
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Motivated by his earlier paper [Appl. Math. Comput. 218, No. 3, 766--772 (2011; Zbl 1239.47009)] and results by \textit{M.-D. Choi} [Can. J. Math. 24, 520--529 (1972; Zbl 0235.46090)], the author gives some new inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for the power function and logarithm are also given.
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Jensen's inequality
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Hermite-Hadamard inequality
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positive maps
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operator convex functions
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arithmetic mean-geometric mean inequality
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