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Pregled bibliografske jedinice broj: 685113

On some new converses of the Jensen and the Lah-Ribarič operator inequality


Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip
On some new converses of the Jensen and the Lah-Ribarič operator inequality // Hacettepe Journal of Mathematics and Statistics, 44 (2015), 5; 1045-1055 (međunarodna recenzija, članak, znanstveni)


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Naslov
On some new converses of the Jensen and the Lah-Ribarič operator inequality

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

Izvornik
Hacettepe Journal of Mathematics and Statistics (1303-5010) 44 (2015), 5; 1045-1055

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

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

Sažetak
In this paper we study some new converses of the Jensen and the Lah-Ribarič operator inequality regarding convex functions. First we give two series of converses in a general setting. The general results are then applied to quasi-arithmetic operator means with a particular emphasis to power operator means. The obtained results are also compared with some related results, known from the literature.

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)


Citiraj ovu publikaciju:

Jakšić, Rozarija; Krnić, Mario; Pečarić, Josip
On some new converses of the Jensen and the Lah-Ribarič operator inequality // Hacettepe Journal of Mathematics and Statistics, 44 (2015), 5; 1045-1055 (međunarodna recenzija, članak, znanstveni)
Jakšić, R., Krnić, M. & Pečarić, J. (2015) On some new converses of the Jensen and the Lah-Ribarič operator inequality. Hacettepe Journal of Mathematics and Statistics, 44 (5), 1045-1055.
@article{article, author = {Jak\v{s}i\'{c}, Rozarija and Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2015}, pages = {1045-1055}, keywords = {Jensen operator inequality, Lah-Ribari\v{c} operator inequality, convexity, operator convexity, converse}, journal = {Hacettepe Journal of Mathematics and Statistics}, volume = {44}, number = {5}, issn = {1303-5010}, title = {On some new converses of the Jensen and the Lah-Ribari\v{c} operator inequality}, keyword = {Jensen operator inequality, Lah-Ribari\v{c} operator inequality, convexity, operator convexity, converse} }
@article{article, author = {Jak\v{s}i\'{c}, Rozarija and Krni\'{c}, Mario and Pe\v{c}ari\'{c}, Josip}, year = {2015}, pages = {1045-1055}, keywords = {Jensen operator inequality, Lah-Ribari\v{c} operator inequality, convexity, operator convexity, converse}, journal = {Hacettepe Journal of Mathematics and Statistics}, volume = {44}, number = {5}, issn = {1303-5010}, title = {On some new converses of the Jensen and the Lah-Ribari\v{c} operator inequality}, keyword = {Jensen operator inequality, Lah-Ribari\v{c} operator inequality, convexity, operator convexity, 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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