Pregled bibliografske jedinice broj: 533042
Some better bounds in converses of the Jensen operator inequality
Some better bounds in converses of the Jensen operator inequality // Operators and Matrices, 6 (2012), 3; 589-605 doi:10.7153/oam-06-40 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 533042 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some better bounds in converses of the Jensen operator inequality
Autori
Mićić, Jadranka ; Pavić, Zlatko ; Pečarić, Josip
Izvornik
Operators and Matrices (1846-3886) 6
(2012), 3;
589-605
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function; Jensen's operator inequality; Mond-Pe\v cari\' c method; self-adjoint operators; positive linear mapping
Sažetak
In this paper we study converses of a generalized Jensen's inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real values continuous convex functions. We obtain some better bounds than the ones calculated in a series of papers in which these inequalities are studied. As an application, we provide a refined calculation of bounds in the case of power functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Računarstvo
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
246-0361616-1623 - Metode izračuna i optimiranja elektromagnetskih uređaja i postrojenja (Hot, Kemal, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb,
Tehničko veleučilište u Zagrebu
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
