Refinements of determinantal inequalities of Jensen’s type

L. Horváth^a, Kh. A. Khan^b, J. Pečarić<sup>c

a</sup> 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

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.

MSC: 26D07, 26D15

Received: 26.07.2013

Language: English

Bibliographic databases:

•