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Eurasian Mathematical Journal, 2015, Volume 6, Number 3, Pages 30–44 (Mi emj200)  
Refinements of determinantal inequalities of Jensen’s type

L. Horvátha, Kh. A. Khanb, J. Pečarićc

a Department of Mathematics, University of Pannonia, Egyetem u.10, 8200 Veszprém, Hungary
b Department of Mathematics, University of Sargodha, Sargodha 40100, Punjab, Pakistan
c Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia
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Abstract: In this paper some new refinements are given for Jensen’s type inequalities involving the determinants of positive definite matrices. The so-called Bellman–Bergstrom–Fan functionals are considered. These functionals are not only concave, but superlinear which is a stronger condition. The results take advantage of this property. In seek of applications, results are furnished with examples.
Keywords and phrases: determinants, positive definite matrix, Jensen’s type inequalities.
Funding agency Grant number
Croatian Science Foundation 5435
Received: 26.07.2013
Bibliographic databases:
Document Type: Article
MSC: 26D07, 26D15
Language: English
Citation: L. Horváth, Kh. A. Khan, J. Pečarić, “Refinements of determinantal inequalities of Jensen’s type”, Eurasian Math. J., 6:3 (2015), 30–44
Citation in format AMSBIB
\Bibitem{HorKhaPec15}
\by L.~Horv{\' a}th, Kh.~A.~Khan, J.~Pe{\v{c}}ari{\'c}
\paper Refinements of determinantal inequalities of Jensen’s type
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 3
\pages 30--44
\mathnet{http://mi.mathnet.ru/emj200}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499900003}
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