## Hermite-Hadamard’s type inequalities for convex functions of selfadjoint operators in Hilbert spaces.(English)Zbl 1248.47017

In the continuation of his paper [Appl. Math. Comput. 218, No. 3, 766–772 (2011; Zbl 1239.47009)], the author uses functional calculus to present some Hermite-Hadamard type inequalities for convex functions of self-adjoint operators in Hilbert spaces under appropriate assumptions. He also improves the Hölder-McCarthy inequality for positive operators and applies his results to Ky Fan’s inequality for real numbers.

### MSC:

 47A63 Linear operator inequalities 47A60 Functional calculus for linear operators

Zbl 1239.47009
Full Text:

### References:

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