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arxiv: 1412.5958 · v1 · pith:HYB3MQYWnew · submitted 2014-12-18 · 🧮 math.FA

Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions

classification 🧮 math.FA
keywords functionshermite-hadamardoperatorpreinvextypesomeinequalitiesinequality
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In this paper we introduce operator preinvex functions and es- tablish a Hermite-Hadamard type inequality for such functions. We give an estimate of the right hand side of a Hermite-Hadamard type inequality in which some operator preinvex functions of selfadjoint operators in Hilbert spaces are involved. Also some Hermite-Hadamard type inequalities for the product of two operator preinvex functions are given.

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