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Pregled bibliografske jedinice broj: 838212

Generalizations of Converse Jensen's Inequality and Related Results


Ivelić Bradanović, Slavica; Pečarić, Josip
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)


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, 22-26.06.2014

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


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb