Pregled bibliografske jedinice broj: 686168
Geometry of Jensen's inequality and quasi-arithmetic means
Geometry of Jensen's inequality and quasi-arithmetic means // International journal of research and reviews in applied sciences, 16 (2013), 2; 203-212 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 686168 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Geometry of Jensen's inequality and quasi-arithmetic means
Autori
Pavić, Zlatko
Izvornik
International journal of research and reviews in applied sciences (2076-734X) 16
(2013), 2;
203-212
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; chord ; center of the convex combination ; barycenter of the set ; quasi-arithmetic mean
Sažetak
The paper observes the basic properties of convex function in the discrete and integral case. The connection of convexity with quantity centers is identified in the discrete case. The relation between barycenters and integral arithmetic means is studied in the integral case. The inequalities for quasi-arithmetic means are observed in both cases.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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- MathSciNet
