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Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means (CROSBI ID 196857)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Anwar, Matloob ; Latif, Naveed ; Pečarić, Josip Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means // Journal of inequalities and applications, 2010 (2010), 728251, 19. doi: 10.1155/2010/728251

Podaci o odgovornosti

Anwar, Matloob ; Latif, Naveed ; Pečarić, Josip

engleski

Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means

We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapunov's and Dresher's inequalities for these differences. We introduce new Cauchy means and show that these means are monotone.

Lyapunov's and Dresher's inequalities ; exponential convexity ; Cauchy means

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Podaci o izdanju

2010

2010.

728251

19

objavljeno

1025-5834

1029-242X

10.1155/2010/728251

Povezanost rada

Matematika

Poveznice
Indeksiranost