number of downloads : ?
File
language
eng
Author
DRAGOMIR, S. S.
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
Published Date
2021-01-30
Publisher
総合理工学部
Publisher Aalternative
The Interdisciplinary Graduate School of Science and Engineering
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Faculty of Science and Engineering
このエントリーをはてなブックマークに追加