| File | |
| language |
eng
|
| Author |
DRAGOMIR, S. S.
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| Description | 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. |
| Journal Title |
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics
|
| Volume | 54
|
| Start Page | 43
|
| End Page | 65
|
| ISSN | 1342-7121
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| Published Date | 2021-01-30
|
| DOI（SelfDOI） | |
| Publisher | 総合理工学部
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| Publisher Aalternative | The Interdisciplinary Graduate School of Science and Engineering
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| NII Type |
Departmental Bulletin Paper
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| Format |
PDF
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| Text Version |
出版社版
|
| OAI-PMH Set |
Faculty of Science and Engineering
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| 他の一覧 |
