Pregled bibliografske jedinice broj: 540907
Jessen's functional, its properties and applications
Jessen's functional, its properties and applications // Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 20 (2012), 1; 225-248 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 540907 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Jessen's functional, its properties and applications
Autori
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Izvornik
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica (1224-1784) 20
(2012), 1;
225-248
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Inequalities; convex function; Jensen's inequality; Jessen's inequality; isotonic functional; Jessen's functional; superadditivity; subaditivity; monotonicity; arithmetic-geometric mean inequality; Young's inequality; Hoelder's inequality
Sažetak
In this paper we consider Jessen's functional, defined by means of positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized and power means, which yields extensions of some recent results, known from the literature. In particular, we obtain the whole series of refinements and conversions of numerous clasical inequalities such as arithmetic-geometric mean inequality, Young's inequality and Hoelder's inequality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
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:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
