| File | |
| Title |
REVERSE JENSEN INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS AND POSITIVE LINEAR MAPS IN C∗-ALGEBRAS
|
| Creator |
DRAGOMIR S. S.
|
| Source Title |
島根大学総合理工学部紀要.シリーズB
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics
|
| Volume | 54 |
| Start Page | 43 |
| End Page | 65 |
| Journal Identifire |
ISSN 1342-7121
|
| Descriptions |
Abstract
Let A and B be unital C∗ -algebras. In this paper we obtain several operator inequalities providing upper bounds for the difference
∫Tϕt (f (xt)) dμ (t) -f(∫Tϕt (xt) dμ (t)), where f : I ! R is a convex function defined on an interval I , (ϕt)t∈T is a unital field of positive linear mappings ϕt : A ! B defined on a locally compact Hausdorff space T with a bounded Radon measure μ and (xt)t∈T is a bounded continuous field of selfadjoint elements in A with spectra contained in I. Several Hermite-Hadamard type inequalities are given. Some examples for convex and operator convex functions are also provided. |
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
総合理工学部
The Interdisciplinary Graduate School of Science and Engineering
|
| Date of Issued | 2021-01-30 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
ソウゴウ リコウ ガクブ
|
