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Eurasian Mathematical Journal, 2015, том 6, номер 3, страницы 30–44
(Mi emj200)
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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
Аннотация:
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.
Ключевые слова и фразы:
determinants, positive definite matrix, Jensen’s type inequalities.
Поступила в редакцию: 26.07.2013
Образец цитирования:
L. Horváth, Kh. A. Khan, J. Pečarić, “Refinements of determinantal inequalities of Jensen’s type”, Eurasian Math. J., 6:3 (2015), 30–44
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj200 https://www.mathnet.ru/rus/emj/v6/i3/p30
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