Pregled bibliografske jedinice broj: 492655
Generalizations of converse Jensen's inequality and related results
Generalizations of converse Jensen's inequality and related results // Journal of Mathematical Inequalities, 5 (2011), 1; 43-60 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalizations of converse Jensen's inequality and related results
Autori
Ivelić, Slavica ; Pečarić, Josip
Izvornik
Journal of Mathematical Inequalities (1846-579X) 5
(2011), 1;
43-60
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen's inequality; Converse Jensen's inequality; convex hull; convex functions; Hermite-Hadamard inequality; k-simplex; barycentric coordinates
Sažetak
In this paper we prove generalizations of Converse Jensen's inequality for convex functions defined on convex hulls. As consequences we get generalizations of the Hermite-Hadamard inequality for convex functions defined on k-simplices in R^{; ; ; ; k}; ; ; ; . We also present some related results which generalize results in [8].
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Građevinarstvo
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Andričević, Roko, MZO ) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- 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
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Referativnyi Zhurnal – Matematika
