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Pregled bibliografske jedinice broj: 517098

Extension of Jensen's inequality for operators without operator convexity


Mićić, Jadranka; Pavić, Zlatko; Pečarić, Josip
Extension of Jensen's inequality for operators without operator convexity // Abstract and Applied Analysis, 2011 (2011), 358981-1 doi:10.1155/2011/358981 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 517098 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Extension of Jensen's inequality for operators without operator convexity

Autori
Mićić, Jadranka ; Pavić, Zlatko ; Pečarić, Josip

Izvornik
Abstract and Applied Analysis (1085-3375) 2011 (2011); 358981-1

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 Jensen's 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 operators' bounds. We also study operator quasi-arithmetic means under the same conditions.

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

Profili:

Avatar Url Jadranka Mićić Hot (autor)

Avatar Url Zlatko Pavić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi www.hindawi.com dx.doi.org

Citiraj ovu publikaciju:

Mićić, Jadranka; Pavić, Zlatko; Pečarić, Josip
Extension of Jensen's inequality for operators without operator convexity // Abstract and Applied Analysis, 2011 (2011), 358981-1 doi:10.1155/2011/358981 (međunarodna recenzija, članak, znanstveni)
Mićić, J., Pavić, Z. & Pečarić, J. (2011) Extension of Jensen's inequality for operators without operator convexity. Abstract and Applied Analysis, 2011, 358981-1 doi:10.1155/2011/358981.
@article{article, author = {Mi\'{c}i\'{c}, Jadranka and Pavi\'{c}, Zlatko and Pe\v{c}ari\'{c}, Josip}, year = {2011}, pages = {358981-1-358981-14}, DOI = {10.1155/2011/358981}, keywords = {self-adjoint operator, positive linear mapping, convex function, Jensen's operator inequality, quasi-arithmetic mean}, journal = {Abstract and Applied Analysis}, doi = {10.1155/2011/358981}, volume = {2011}, issn = {1085-3375}, title = {Extension of Jensen's inequality for operators without operator convexity}, 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 Pavi\'{c}, Zlatko and Pe\v{c}ari\'{c}, Josip}, year = {2011}, pages = {358981-1-358981-14}, DOI = {10.1155/2011/358981}, keywords = {self-adjoint operator, positive linear mapping, convex function, Jensen's operator inequality, quasi-arithmetic mean}, journal = {Abstract and Applied Analysis}, doi = {10.1155/2011/358981}, volume = {2011}, issn = {1085-3375}, title = {Extension of Jensen's inequality for operators without operator convexity}, 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
  • Mathematical Reviews


Citati:





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