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New improvement of the converse Jensen inequality


Pečarić, Josip; Perić, Jurica
New improvement of the converse Jensen inequality // Mathematical inequalities & applications, 21 (2018), 1; 217-234 doi:10.7153/mia-2018-21-17 (međunarodna recenzija, članak, znanstveni)


Naslov
New improvement of the converse Jensen inequality

Autori
Pečarić, Josip ; Perić, Jurica

Izvornik
Mathematical inequalities & applications (1331-4343) 21 (2018), 1; 217-234

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

Ključne riječi
Convex functions ; positive linear functional ; converse Jensen inequality ; converse Holder inequality ; converse Minkowski inequality ; quasi-arthmetic mean

Sažetak
We give a new refinement of the converse Jensen inequality for linear functionals as well as improvements of some related results. Especially, we give two refinements of the converse Holder inequality for functionals and a refinement of the converse Minkowski inequality for functionals. Application on the quasi-arithmetic and power mean is given.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove
Prirodoslovno-matematički fakultet, Split

Časopis indeksira:


  • 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
  • Google Scholar
  • Referativnyi Zhurnal – Matematika


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