Geodesic
Refinements of determinantal inequalities of JensenвЂTMs type
Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 30-44 
L. Horváth; Kh. A. Khan; J. Pečarić. Refinements of determinantal inequalities of JensenвЂTMs type. Eurasian mathematical journal, Tome 6 (2015) no. 3, pp. 30-44. http://geodesic.mathdoc.fr/item/EMJ_2015_6_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper some new refinements are given for JensenвЂTMs 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.

[1] L. Horváth, “A method to refine the discrete Jensen's inequality for convex and mid-convex functions”, Math. Comput. Modelling, 54 (2011), 2451–2459 | DOI | MR | Zbl

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