New Jensen's Type Inequalities for Differentiable Log-convex Functions of Selfadjoint Operators in Hilbert Spaces

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Dragomir, Sever S (2011) New Jensen's Type Inequalities for Differentiable Log-convex Functions of Selfadjoint Operators in Hilbert Spaces. Sarajevo Journal of Mathematics, 7 (1). pp. 67-80. ISSN 1840-0655

Abstract

Some new Jensen's type inequalities for di�erentiable log- convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for par- ticular cases of interest are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/9204
Official URL http://www.anubih.ba/Journals/vol.7,no-1,y11/09SSD...
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 ResPubID23776, selfadjoint operators, positive operators, Jensen's inequality, convex functions, functions of selfadjoint operators
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