Pregled bibliografske jedinice broj: 855273
Refinements of Jessen's functional
Refinements of Jessen's functional // Ukrainian mathematical journal, 68 (2016), 7; 1000-1020 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 855273 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Refinements of Jessen's functional
Autori
Barbir, Ana ; Krulić Himmelreich, Kristina ; Pečarić, Josip
Izvornik
Ukrainian mathematical journal (0041-5995) 68
(2016), 7;
1000-1020
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex functions, Jensen's functional, Jensen-Steffensen's functional, Jessen's functional superadditivity
Sažetak
In this paper we obtain new refinements of Jessen's functional, defined by means of positive linear functionals. Derived results are then applied to weighted generalized and power means. We also obtain new refinements of numerous classical inequalities such as arithmetic-geometric mean inequality, Young's inequality and Holder's inequality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
--IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
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
