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Pregled bibliografske jedinice broj: 540894

Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators

Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators // PUBLICATIONES MATHEMATICAE-DEBRECEN, 80 (2012), 3-4; 465-478 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 540894 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators

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

Izvornik
PUBLICATIONES MATHEMATICAE-DEBRECEN (0033-3883) 80 (2012), 3-4; 465-478

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

Ključne riječi
Hilbert space; positive invertible operator; arithmetic operator mean; geometric operator mean; Heinz operator mean; supperaditivity; monotonicity; refinement; converse

Sažetak
The main objective of this paper is an improvement of the original weighted operator arithmetic-geometric mean inequality in Hilbert space. We define the difference operator between the arithmetic and geometric means and investigate its properties. Due to the derived properties, we obtain a refinement and a converse of the observed operator mean inequality. As an application, we establish one significant operator mean, which interpolates the arithmetic and geometric means, that is, the Heinz operator mean. We also obtain an improvement of this interpolation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
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)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada

Citiraj ovu publikaciju:

Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators // PUBLICATIONES MATHEMATICAE-DEBRECEN, 80 (2012), 3-4; 465-478 (međunarodna recenzija, članak, znanstveni)
Kittaneh, F., Krnić, M., Lovričević, N. & Pečarić, J. (2012) Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators. PUBLICATIONES MATHEMATICAE-DEBRECEN, 80 (3-4), 465-478.
@article{article, author = {Kittaneh, Fuad and Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2012}, pages = {465-478}, keywords = {Hilbert space, positive invertible operator, arithmetic operator mean, geometric operator mean, Heinz operator mean, supperaditivity, monotonicity, refinement, converse}, journal = {PUBLICATIONES MATHEMATICAE-DEBRECEN}, volume = {80}, number = {3-4}, issn = {0033-3883}, title = {Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators}, keyword = {Hilbert space, positive invertible operator, arithmetic operator mean, geometric operator mean, Heinz operator mean, supperaditivity, monotonicity, refinement, converse} }
@article{article, author = {Kittaneh, Fuad and Krni\'{c}, Mario and Lovri\v{c}evi\'{c}, Neda and Pe\v{c}ari\'{c}, Josip}, year = {2012}, pages = {465-478}, keywords = {Hilbert space, positive invertible operator, arithmetic operator mean, geometric operator mean, Heinz operator mean, supperaditivity, monotonicity, refinement, converse}, journal = {PUBLICATIONES MATHEMATICAE-DEBRECEN}, volume = {80}, number = {3-4}, issn = {0033-3883}, title = {Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators}, keyword = {Hilbert space, positive invertible operator, arithmetic operator mean, geometric operator mean, Heinz operator mean, supperaditivity, monotonicity, refinement, converse} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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