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On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality


Barić, Josipa; Matić, Marko; Pečarić, Josip
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality // Mathematical Inequalities & Applications, 12 (2009), 2; 413-432 (međunarodna recenzija, članak, znanstveni)


Naslov
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality

Autori
Barić, Josipa ; Matić, Marko ; Pečarić, Josip

Izvornik
Mathematical Inequalities & Applications (1331-4343) 12 (2009), 2; 413-432

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

Ključne riječi
Jensen-Steffensen’ s inequality; convex functions; bounds

Sažetak
We consider the inequalities for normalized Jensen functional, recently introduced by S.S. Dragomir. We give an alternative proof of such inequalities and prove another similar result for the case when f is a convex function on an interval in the real line, while p and q satisfy the conditions for Jensen-Steffensen inequality. We show that our result improves the result of Dragomir in this special case. We also prove the integral versions of all our results, including those related to Boas’ generalization of Jensen-Steffensen integral inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb,
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