A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces

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Agarwal, R. P and Dragomir, Sever S (2010) A survey of Jensen type inequalities for functions of selfadjoint operators in Hilbert spaces. Computers & Mathematics with Applications, 59 (12). pp. 3785-3812. ISSN 0898-1221

Abstract

The main aim of the present paper is to survey different inequalities for convex functions of selfadjoint operators in Hilbert spaces which have appeared recently in the literature. Applications for some particular convex functions of interest are also given.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/7400
DOI	10.1016/j.camwa.2010.04.014
Official URL	http://www.sciencedirect.com/science/article/pii/S...
Subjects	Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords	ResPubID19742. selfadjoint operators, positive operators, Jensen's inequality, Jensen type inequalities, convex functions, Hilbert spaces
Citations in Scopus	23 - View on Scopus
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