Abstract
In this paper we introduce operator preinvex functions and establish 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.
Citation
A. Barani. A. G. Ghazanfari. "Some Hermite--Hadamard type inequalities for the product of two operator preinvex functions." Banach J. Math. Anal. 9 (2) 9 - 20, 2015. https://doi.org/10.15352/bjma/09-2-2
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