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Convex combinations, barycenters and convex functions (CROSBI ID 203548)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pavić, Zlatko Convex combinations, barycenters and convex functions // Journal of inequalities and applications, (2013), 61-1-61-13. doi: 10.1186/1029-242X-2013-61

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

Povezanost rada

Matematika

Poveznice
Indeksiranost