Pregled bibliografske jedinice broj: 887881
Generalization of Jensen's inequality by Hermite polynomials and related results
Generalization of Jensen's inequality by Hermite polynomials and related results // Conference on inequalities and applications’14 : Book of Abstracts / Páles, Zolt (ur.).
Deberecen: Institut of Mathematics University of Debrecen, 2014. str. 7-7 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Generalization of Jensen's inequality by Hermite polynomials and related results
Autori
Čuljak, Vera ; Aras-gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Conference on inequalities and applications’14 : Book of Abstracts
/ Páles, Zolt - Deberecen : Institut of Mathematics University of Debrecen, 2014, 7-7
Skup
Conference on inequalities and applications
Mjesto i datum
Hajdúszoboszló, Mađarska, 07.09.2014. - 13.09.2014
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Jensen's inequality, Hermite polinomials, n-convex functions, Green function
Sažetak
In this note we consider n-convex functions. Using the hermite interpolating polynomials and conditions on the Green functions we present results for Jensen's inequality and converses of Jensen's inequality for signed measure. Motivated by obtained inequalities we define linear functionals and give mean value theorems for them. Finally, we apply obtained result to Stolarsky type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Arhitektonski fakultet, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
