Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces

作者：Dragomir S S^*

来源：Linear Algebra and Its Applications, 2012, 436(5): 1503-1515.

DOI：10.1016/j.laa.2011.08.050

• Selfadjoint operators
• Positive operators
• Jensen&apos
• s inequality
• Convex functions
• Functions of selfadjoint operators

Some Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications in relation with the celebrated Holder-McCarthy's inequality for positive operators and Ky Fan's inequality for real numbers are given as well.

• 出版日期2012-3-1