Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces (Q665969)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces |
scientific article; zbMATH DE number 6012772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces |
scientific article; zbMATH DE number 6012772 |
Statements
Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces (English)
0 references
7 March 2012
0 references
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.
0 references
selfadjoint operators
0 references
positive operators
0 references
Jensen's inequality
0 references
convex functions
0 references
functions of selfadjoint operators
0 references
0 references
0 references
