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Pregled bibliografske jedinice broj: 719658

More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality


Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip
More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality // Applied mathematics and computation, 249 (2014), 346-355 doi:10.1016/j.amc.2014.10.035 (međunarodna recenzija, članak, znanstveni)


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Naslov
More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality

Autori
Jakšić, Rozarija ; Krnić, Mario ; Pečarić, Josip

Izvornik
Applied mathematics and computation (0096-3003) 249 (2014); 346-355

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

Ključne riječi
Jensen operator inequality; Lah-Ribarič inequality; convexity; operator convexity; converse; refinement

Sažetak
In this article we establish several converses of the Jensen operator inequality. The obtained inequalities are related with the usual convexity instead of operator convexity, and are derived by virtue of the improved version of the Lah-Ribarič inequality. First we give our general results, some of which improve some recent results known from the literature. The general results are then applied to quasi-arithmetic and power operator means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Mario Krnić (autor)

Avatar Url Rozarija Mikić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip
More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality // Applied mathematics and computation, 249 (2014), 346-355 doi:10.1016/j.amc.2014.10.035 (međunarodna recenzija, članak, znanstveni)
Jakšić, R., Krnić, M. & Pečarić, J. (2014) More precise estimates for the Jensen operator inequality obtained via the Lah-Ribarič inequality. Applied mathematics and computation, 249, 346-355 doi:10.1016/j.amc.2014.10.035.
@article{article, author = {Jak\v{s}i\'{c}, Rozarija and Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2014}, pages = {346-355}, DOI = {10.1016/j.amc.2014.10.035}, keywords = {Jensen operator inequality, Lah-Ribari\v{c} inequality, convexity, operator convexity, converse, refinement}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2014.10.035}, volume = {249}, issn = {0096-3003}, title = {More precise estimates for the Jensen operator inequality obtained via the Lah-Ribari\v{c} inequality}, keyword = {Jensen operator inequality, Lah-Ribari\v{c} inequality, convexity, operator convexity, converse, refinement} }
@article{article, author = {Jak\v{s}i\'{c}, Rozarija and Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2014}, pages = {346-355}, DOI = {10.1016/j.amc.2014.10.035}, keywords = {Jensen operator inequality, Lah-Ribari\v{c} inequality, convexity, operator convexity, converse, refinement}, journal = {Applied mathematics and computation}, doi = {10.1016/j.amc.2014.10.035}, volume = {249}, issn = {0096-3003}, title = {More precise estimates for the Jensen operator inequality obtained via the Lah-Ribari\v{c} inequality}, keyword = {Jensen operator inequality, Lah-Ribari\v{c} inequality, convexity, operator convexity, converse, refinement} }

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


Citati:





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