Extension of Jensen's inequality for operators without operator convexity
type: Item
instance of: scholarly article
title: Extension of Jensen's inequality for operators without operator convexity
zbMATH Open document ID: 1221.47032
DOI: 10.1155/2011/358981
author: Jadranka Mićić
author: Zlatko Pavić
author: J. Pečarić
published in: Abstract and Applied Analysis
publication date: 2011-07-22T00:00:00Z
review text: Summary: We give an extension of Jensen's inequality for \(n\)-tuples of selfadjoint operators, unital \(n\)-tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds. We also study operator quasiarithmetic means under the same conditions.
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 47A64
zbMATH DE Number: 5930741
zbMATH Keywords: Jensen's inequality
zbMATH Keywords: \(n\)-tuples of selfadjoint operators
zbMATH Keywords: quasiarithmetic means
Wikidata QID: Q58654158
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/358981
OpenAlex ID: W2059627307
cites work: Q4843433
cites work: Jensen's operator inequality and its converses
cites work: Converses of Jensen's operator inequality
cites work: Jensen's inequality for operators without operator convexity
description: scientific article; zbMATH DE number 5930741