Convex combinations, barycenters and convex functions (CROSBI ID 203548)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pavić, Zlatko
engleski
Convex combinations, barycenters and convex functions
The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen's inequality and convexity is studied in the integral case. The Hermite-Hadamard inequality is also obtained as a consequence of a concept of barycenters. Some derived results are applied to the quasi-arithmetic means, and especially to the power means.
convex combination; barycenter; convex function; Jensen's inequality; quasi-arithmetic mean
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Podaci o izdanju
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2013.
61-1-61-13
objavljeno
1029-242X
10.1186/1029-242X-2013-61