On some new converses of the Jensen and the Lah-Ribarić operator inequality (Q2822530)
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scientific article; zbMATH DE number 6632064
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some new converses of the Jensen and the Lah-Ribarić operator inequality |
scientific article; zbMATH DE number 6632064 |
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30 September 2016
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Jensen operator inequality
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convexity
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operator convexity
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0.9412432
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0.9310243
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0.9274173
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0.92696697
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0.9235754
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0.9220375
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0.9205517
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On some new converses of the Jensen and the Lah-Ribarić operator inequality (English)
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In [\textit{F. Hansen} et al., Math. Scand. 100, No. 1, 61--73 (2007; Zbl 1151.47025)], the Jensen and Lah-Ribarič operator inequalities for a bounded continuous field of self-adjoint elements in a \(C^{*}\)-algebra were obtained. The authors obtain reverse inequalities of them in the same setting. Especially, the authors obtain some inequalities for quasi-arithmetic means as applications of the main results, and discuss some inequalities of power operator means as concrete examples of quasi-arithmetic means.
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