Refinements of Determinantal Inequalities of Jensen’s Type

László Horváth; Khuram Ali Khan; Josip Pečarić

Refinements of Determinantal Inequalities of Jensen’s Type

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Authors

László Horváth
Khuram Ali Khan
Josip Pečarić

Keywords:

determinants, positive definite matrix, Jensen’s type inequalities

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.

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Published

2015-09-30

How to Cite

Horváth, L., Khan, K. A., & Pečarić, J. (2015). Refinements of Determinantal Inequalities of Jensen’s Type. Eurasian Mathematical Journal, 6(3), 30–44. Retrieved from https://emj.enu.kz/index.php/main/article/view/614