Pregled bibliografske jedinice broj: 886956
Inequalities including the barycenters
Inequalities including the barycenters // Book of Abstracts of 2nd International Conference on Advances in Natural and Applied Sciences, Antalya, Turkey / Ocak Akdemir, Ahmet ; Set, Erhan ; Ekinci, Alper (ur.).
Agri: Ibrahim Cecen University, 2017. str. 1-1 (plenarno, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 886956 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Inequalities including the barycenters
Autori
Pavić, Zlatko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts of 2nd International Conference on Advances in Natural and Applied Sciences, Antalya, Turkey
/ Ocak Akdemir, Ahmet ; Set, Erhan ; Ekinci, Alper - Agri : Ibrahim Cecen University, 2017, 1-1
ISBN
978-605-63866-8-8
Skup
2nd International Conference on Advances in Natural and Applied Sciences
Mjesto i datum
Antalya, Turska, 18.04.2017. - 21.04.2017
Vrsta sudjelovanja
Plenarno
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
barycenter, simplex, inequality
Sažetak
The aim of the communication is to present the review of the Hermite-Hadamard inequality as the most important double inequality. We consider multivariate convex functions defined on simplices in the Euclidean space. The first thing we discuss is an extension of the Hermite-Hadamard inequality from the simplex barycenter to some other points. The second thing we are interested in is a two-sided refinement of this inequality. The third thing we want is to include the Fejér inequality in all of this. In the case of univariate convex functions, the Fejér inequality generalizes the Hermite-Hadamard inequality by using an additional symmetric function. Involving the concept of the barycenter of a positive integrable function, we can extend both inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
