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Refined Jensen's operator inequality with condition on spectra


Mićić, Jadranka; Pečarić, Josip; Perić, Jurica
Refined Jensen's operator inequality with condition on spectra // Operators and matrices, 7 (2013), 2; 293-308 doi:10.7153/oam-07-17 (međunarodna recenzija, članak, znanstveni)


Naslov
Refined Jensen's operator inequality with condition on spectra

Autori
Mićić, Jadranka ; Pečarić, Josip ; Perić, Jurica

Izvornik
Operators and matrices (1846-3886) 7 (2013), 2; 293-308

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Self-adjoint operator; positive linear mapping; convex function; Jensen's operator inequality; quasi-arithmetic mean

Sažetak
We give a refinement of Jensen's inequality for n- tuples of self-adjoint operators, unital n-tuples of positive linear mappings and real valued continuous convex functions with condition on the spectra of the operators. The refined Jensen's inequality is used to obtain a refinement of inequalities among quasi-arithmetic means under similar conditions. As an application of these results we give a refinement of inequalities among power means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Računarstvo



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )
246-0361616-1623 - Metode izračuna i optimiranja elektromagnetskih uređaja i postrojenja (Kemal Hot, )

Ustanove
Tekstilno-tehnološki fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb,
Prirodoslovno-matematički fakultet, Split,
Tehničko veleučilište u Zagrebu

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


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


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