Pregled bibliografske jedinice broj: 686152
Convex combinations, barycenters and convex functions
Convex combinations, barycenters and convex functions // Journal of inequalities and applications, (2013), 61-1 doi:10.1186/1029-242X-2013-61 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 686152 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Convex combinations, barycenters and convex functions
Autori
Pavić, Zlatko
Izvornik
Journal of inequalities and applications (1029-242X)
(2013);
61-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex combination; barycenter; convex function; Jensen's inequality; quasi-arithmetic mean
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
