Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means (CROSBI ID 196857)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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