Further results on Jensen-type inequalities

In this paper, we establish some Jensen-type inequalities for continuous functions of self-adjoint operators on complex Hilbert spaces. Furthermore, using the Cartesian decomposition of an operator, we improve the known result due to Mond and Peˇcari´c. Some refinements of the H¨older-McCarthy inequ...

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Veröffentlicht in:	Issues of analysis 2019-01, Vol.26 (3), p.112-124
Hauptverfasser:	Moosavi, B., Moradi, H. R., Shah Hosseini, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	convex function jensen’s inequality self-adjoint operator synchronous (asynchronous) function
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we establish some Jensen-type inequalities for continuous functions of self-adjoint operators on complex Hilbert spaces. Furthermore, using the Cartesian decomposition of an operator, we improve the known result due to Mond and Peˇcari´c. Some refinements of the H¨older-McCarthy inequality are given as well.
ISSN:	2306-3432 2306-3424 2306-3432
DOI:	10.15393/j3.art.2019.6350