Pregled bibliografske jedinice broj: 771680
Generalization of Jensen's inequality by Hermite polynomials and related results
Generalization of Jensen's inequality by Hermite polynomials and related results // Mathematical reports, 17 (2015), 2; 201-223 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalization of Jensen's inequality by Hermite polynomials and related results
Autori
Aras-Gazić, Gorana ; Čuljak, Vera ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Mathematical reports (1582-3067) 17
(2015), 2;
201-223
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Green function ; Jensen's inequality ; n-convex function ; Hermite interpolating polynomial ; Cauchy type mean value theorems ; n-exponential convexity ; exponential convexity ; log-convexity ; means
Sažetak
In this note, we consider convex functions of higher order. Using the Hermite's interpolating polynomials and conditions on the Green's functions the results concerning for the converse of Jensen's inequality for signed measure are presented. Using these inequalities, we produce new exponentially convex functions. Finally, we give several examples of the families of functions for which the obtained results can be applied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Arhitektonski fakultet, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
