Pregled bibliografske jedinice broj: 540923
On some properties of Jensen-Mercer's functional
On some properties of Jensen-Mercer's functional // Journal of Mathematical Inequalities, 6 (2012), 1; 125-139 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 540923 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On some properties of Jensen-Mercer's functional
Autori
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Izvornik
Journal of Mathematical Inequalities (1846-579X) 6
(2012), 1;
125-139
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
inequalities; convex functions; Jensen's functional; Jensen-Mercer's inequality; Jensen-Mercer's functional; Jensen-Steffensen's inequality; superadditivity; monotonicity; Jensen-Steffensen's integral inequality
Sažetak
Motivated by results of S.S. Dragomir, J.E. Pečarić and L.E. Persson, related to superadditivity and monotonicity of discrete Jensen's functional, in this paper we consider Jensen-Mercer's functional, for which we state and prove analogues results. In particular, these results are obtained for Jensen-Mercer's functional under Jensen-Steffensen's conditions. Integral versions are also given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
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
