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Pregled bibliografske jedinice broj: 492655

Generalizations of converse Jensen's inequality and related results


Ivelić, Slavica; Pečarić, Josip
Generalizations of converse Jensen's inequality and related results // Journal of Mathematical Inequalities, 5 (2011), 1; 43-60 (međunarodna recenzija, članak, znanstveni)


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


Projekt / tema
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Roko Andričević, )
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

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