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Pregled bibliografske jedinice broj: 567646

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)

CROSBI ID: 567646 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

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

Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
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,
Prirodoslovno-matematički fakultet, Split,
Tehničko veleučilište u Zagrebu

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Jadranka Mićić Hot (autor)

Avatar Url Jurica Perić (autor)

Poveznice na cjeloviti tekst rada:

doi files.ele-math.com secure.ele-math.com

Citiraj ovu publikaciju:

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)
Mićić, J., Pečarić, J. & Perić, J. (2013) Refined Jensen's operator inequality with condition on spectra. Operators and matrices, 7 (2), 293-308 doi:10.7153/oam-07-17.
@article{article, author = {Mi\'{c}i\'{c}, Jadranka and Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Jurica}, year = {2013}, pages = {293-308}, DOI = {10.7153/oam-07-17}, keywords = {self-adjoint operator, positive linear mapping, convex function, Jensen's operator inequality, quasi-arithmetic mean}, journal = {Operators and matrices}, doi = {10.7153/oam-07-17}, volume = {7}, number = {2}, issn = {1846-3886}, title = {Refined Jensen's operator inequality with condition on spectra}, keyword = {self-adjoint operator, positive linear mapping, convex function, Jensen's operator inequality, quasi-arithmetic mean} }
@article{article, author = {Mi\'{c}i\'{c}, Jadranka and Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Jurica}, year = {2013}, pages = {293-308}, DOI = {10.7153/oam-07-17}, keywords = {self-adjoint operator, positive linear mapping, convex function, Jensen's operator inequality, quasi-arithmetic mean}, journal = {Operators and matrices}, doi = {10.7153/oam-07-17}, volume = {7}, number = {2}, issn = {1846-3886}, title = {Refined Jensen's operator inequality with condition on spectra}, keyword = {self-adjoint operator, positive linear mapping, convex function, Jensen's operator inequality, quasi-arithmetic mean} }

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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