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Extension of the refined Jensen's operator inequality with condition on spectra


Mićić, Jadranka; Pečarić, Josip; Perić, Jurica
Extension of the refined Jensen's operator inequality with condition on spectra // Annals of Functional Analysis, 3 (2012), 1; 67-85 (međunarodna recenzija, članak, znanstveni)


Naslov
Extension of the refined Jensen's operator inequality with condition on spectra

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

Izvornik
Annals of Functional Analysis (2008-8752) 3 (2012), 1; 67-85

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 an extension of the refined Jensen's operator inequality for n-tuples of self-adjoint operators, unital n-tuples of positive linear mappings and real valued continuous convex functions with conditions on the spectra of the operators. We also study the order among quasi- arithmetic means under similar conditions.

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:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Ulrich's Periodicals Directory
  • Directory of Open Access Journals
  • Cambridge Scientific Abstracts
  • Mathematical Reviews