| ファイル情報(添付) | |
| タイトル |
REVERSE JENSEN INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS AND POSITIVE LINEAR MAPS IN C∗-ALGEBRAS
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| 著者 |
DRAGOMIR S. S.
|
| 収録物名 |
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
|
| 巻 | 54 |
| 開始ページ | 43 |
| 終了ページ | 65 |
| 収録物識別子 |
ISSN 1342-7121
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| 内容記述 |
抄録・要旨
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. |
| 言語 |
英語
|
| 資源タイプ | 紀要論文 |
| 出版者 |
総合理工学部
The Interdisciplinary Graduate School of Science and Engineering
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| 発行日 | 2021-01-30 |
| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 関連情報 |
ソウゴウ リコウ ガクブ
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