Pregled bibliografske jedinice broj: 541308
Integral, discrete and functional variants of Jensen's inequality
Integral, discrete and functional variants of Jensen's inequality // Journal of mathematical inequalities, 5 (2011), 2; 253-264 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 541308 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Integral, discrete and functional variants of Jensen's inequality
Autori
Pavić, Zlatko ; Pečarić, Josip ; Perić, Ivan
Izvornik
Journal of mathematical inequalities (1846-579X) 5
(2011), 2;
253-264
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
barycentre; convex function; convex set; Jensen's inequality; power mean; quasi-arithmetic mean
Sažetak
We deal with convex functions on bounded closed convex sets with common barycenter. More precisely, the integral arithmetic means of convex function $f$ are compared on the sets $A$ and $B$ with $A\subseteq B$. The paper shows series of inequalities hold for convex function of one variable, but it doesn't hold generally for convex functions of several variables.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
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
