Pregled bibliografske jedinice broj: 838212
Generalizations of Converse Jensen's Inequality and Related Results
Generalizations of Converse Jensen's Inequality and Related Results // Mathematical Inequalities and Applications 2014, ONE THOUSAND PAPERS CONFERENCE / Varošanec, Sanja (ur.).
Zagreb: Element, 2014. (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 838212 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Converse Jensen's Inequality and Related Results
Autori
Ivelić Bradanović, Slavica ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Inequalities and Applications 2014, ONE THOUSAND PAPERS CONFERENCE
/ Varošanec, Sanja - Zagreb : Element, 2014
Skup
Mathematical Inequalities and Applications 2014
Mjesto i datum
Trogir, Hrvatska, 22.06.2014. - 26.06.2014
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Jensen's inequality; Converse Jensen's inequality; convex hull; convex functions; Hermite-Hadamard inequality; k-simplex; barycentric coordinates
Sažetak
In this paper we prove generalizations of Converse Jensen's inequality for convex functions defined on convex hulls. As consequences we get generalizations of the Hermite-Hadamard inequality for convex functions defined on k-simplices in R^{; ; k}; ; . We also present some related generalized results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
