Naslov
N-exponential convexity for Jensen-type inequalities

Autori
Khan, Asif R. ; Pečarić, Josip ; Rodić Lipanović, Mirna

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja - Rijeka : Fakultet za matematiku Sveučilišta u Rijeci, 2012, 65-65

ISBN
978-953-7720-13-1

Skup
5th Croatian Mathematical Congress

Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Green function; Jensen inequality; converse of the Jensen inequality; Cauchy-type mean value theorems; n-exponential convexity; means

Sažetak
Starting from the results given in [J. Pečarić, I. Perić, M. Rodić Lipanović: Uniform treatment of Jensen type inequalities, to appear in Math. Rep. (Bucur.)] where the uniform treatment of the Jensen type inequalities and its converses is given, we investigate the exponential convexity of differences of the left-hand and the right-hand side of these inequalities. Using these differences, we produce new exponentially convex functions. At the end, we give several examples of the families of functions for which the obtained results can be applied, and we get some generalized Cauchy means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA