Geodesic
Refinements of determinantal inequalities of Jensen’s type
Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 30-44

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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. 
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     title = {Refinements of determinantal inequalities of {Jensen{\textquoteright}s} type},
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L. Horváth; Kh. A. Khan; J. Pečarić. Refinements of determinantal inequalities of Jensen’s type. Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 30-44. http://geodesic.mathdoc.fr/item/EMJ_2015_6_3_a2/