Pregled bibliografske jedinice broj: 779109
Improvements of the Hermite-Hadamard inequality for multivariate convex functions
Improvements of the Hermite-Hadamard inequality for multivariate convex functions // The Sixteenth International Conference of Functional Equations and Inequalities / Pedagogical University of Cracow, Department of Mathematics (ur.).
Bedlewo: Stefan Banach International Mathematical Center, 2015. str. 34-34 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Improvements of the Hermite-Hadamard inequality for multivariate convex functions
Autori
Pavić, Zlatko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
The Sixteenth International Conference of Functional Equations and Inequalities
/ Pedagogical University of Cracow, Department of Mathematics - Bedlewo : Stefan Banach International Mathematical Center, 2015, 34-34
Skup
The Sixteenth International Conference of Functional Equations and Inequalities
Mjesto i datum
Będlewo, Poljska, 17.05.2015. - 23.05.2015
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
convex combination; simplex; the Hermite-Hadamard inequality
Sažetak
This work presents a generalization of the Hermite-Hadamard inequality for convex functions on the simplex in the Euclidean space. The generalization refers to points of the subsimplex whose vertices are barycenters of the given simplex facets. The improved inequality applies to all points of the inscribed subsimplex, with the exception of its vertices.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Strojarski fakultet, Slavonski Brod
Profili:
Zlatko Pavić
(autor)
