Pregled bibliografske jedinice broj: 527960
On the refinements of the Jensen-Steffensen inequality
On the refinements of the Jensen-Steffensen inequality // Journal of inequalities and applications, (2011), 12-1 doi:10.1186/1029-242X-2011-12 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 527960 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the refinements of the Jensen-Steffensen inequality
Autori
Franjić, Iva ; Khalid, Sadia ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1029-242X)
(2011);
12-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen-Steffensen inequality; refinements; exponential and logarithmic convexity; mean value theorems
Sažetak
In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these inequalities and prove monotonicity property of the generalized Cauchy means obtained via these functionals. Finally, we give several examples of the families of functions for which the results can be applied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Poveznice na cjeloviti tekst rada:
doi www.journalofinequalitiesandapplications.com www.journalofinequalitiesandapplications.comCitiraj ovu publikaciju:
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
