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Refinements and reverses of means inequalities for Hilbert space operators


Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
Refinements and reverses of means inequalities for Hilbert space operators // Banach Journal of Mathematical Analysis, 7 (2013), 2; 15-29 (međunarodna recenzija, članak, znanstveni)


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Naslov
Refinements and reverses of means inequalities for Hilbert space operators

Autori
Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip

Izvornik
Banach Journal of Mathematical Analysis (1735-8787) 7 (2013), 2; 15-29

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

Ključne riječi
positive operator; compact operator; operator mean; refinement; eigenvalue

Sažetak
In this paper we derive some improvements of means inequalities for Hilbert space operators. More precisely, we obtain refinements and reverses of the arithmetic-geometric operator mean inequality. As an application, we also deduce an improved variant for the refined arithmetic-Heinz mean inequality. We also present some eigenvalue inequalities for differences of certain operator means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Neda Lovričević (autor)

Avatar Url Mario Krnić (autor)

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
Refinements and reverses of means inequalities for Hilbert space operators // Banach Journal of Mathematical Analysis, 7 (2013), 2; 15-29 (međunarodna recenzija, članak, znanstveni)
Hirzallah, O., Kittaneh, F., Krnić, M., Lovričević, N. & Pečarić, J. (2013) Refinements and reverses of means inequalities for Hilbert space operators. Banach Journal of Mathematical Analysis, 7 (2), 15-29.
@article{article, author = {Hirzallah, Omar and Kittaneh, Fuad and Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2013}, pages = {15-29}, keywords = {positive operator, compact operator, operator mean, refinement, eigenvalue}, journal = {Banach Journal of Mathematical Analysis}, volume = {7}, number = {2}, issn = {1735-8787}, title = {Refinements and reverses of means inequalities for Hilbert space operators}, keyword = {positive operator, compact operator, operator mean, refinement, eigenvalue} }
@article{article, author = {Hirzallah, Omar and Kittaneh, Fuad and Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2013}, pages = {15-29}, keywords = {positive operator, compact operator, operator mean, refinement, eigenvalue}, journal = {Banach Journal of Mathematical Analysis}, volume = {7}, number = {2}, issn = {1735-8787}, title = {Refinements and reverses of means inequalities for Hilbert space operators}, keyword = {positive operator, compact operator, operator mean, refinement, eigenvalue} }

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





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