SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR THE PRODUCT OF TWO OPERATOR PREINVEX FUNCTIONS

作者：Ghazanfari A G^*; Barani A

来源：Banach Journal of Mathematical Analysis, 2015, 9(2): 9-20.

DOI：10.15352/bjma/09-2-2

• Hermite-Hadamard inequality
• invex sets
• operator preinvex functions

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.

• 出版日期2015