Pregled bibliografske jedinice broj: 577301
Inequalities among quasi-arithmetic means for continuous field of operators
Inequalities among quasi-arithmetic means for continuous field of operators // Filomat, 26 (2012), 5; 977-991 doi:10.2298/FIL1205977M (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 577301 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Inequalities among quasi-arithmetic means for
continuous field of operators
Autori
Mićić, Jadranka ; Hot, Kemal
Izvornik
Filomat (0354-5180) 26
(2012), 5;
977-991
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
quasi-arithmetic mean ; power mean ; self-adjoint operator ; positive linear mapping ; convex function
Sažetak
In this paper we study inequalities among quasi- arithmetic means for a continuous field of selfadjoint operators, a field of positive linear mappings and continuous strictly monotone functions which induce means. We present inequalities with operator convexity and without operator convexity of appropriate functions. Also, we present a general formulation of converse inequalities in each of these cases. Furthermore, we obtain refined inequalities without operator convexity. As applications, we obtain inequalities among power means.
Izvorni jezik
Engleski
Znanstvena područja
Računarstvo
POVEZANOST RADA
Projekti:
MZOS-246-0361616-1623 - Metode izračuna i optimiranja elektromagnetskih uređaja i postrojenja (Hot, Kemal, MZOS ) ( CroRIS)
Ustanove:
Fakultet strojarstva i brodogradnje, Zagreb,
Tehničko veleučilište u Zagrebu
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
