Pregled bibliografske jedinice broj: 651144
On the refinements of the integral Jensen-Steffensen inequality
On the refinements of the integral Jensen-Steffensen inequality // Journal of inequalities and applications, 2013 (2013), 20, 18 doi:10.1186/1029-242X-2013-20 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 651144 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the refinements of the integral Jensen-Steffensen inequality
Autori
Khalid, Sadia ; Pečarić, Josip
Izvornik
Journal of inequalities and applications (1025-5834) 2013
(2013);
20, 18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; Jensen-Steffensen weighted integral inequality ; n-exponential and logarithmic convexity ; mean value theorems ; divided difference
Sažetak
In this paper, we present integral versions of some recently proved results which refine the Jensen-Steffensen inequality. We prove the n- exponential convexity and log-convexity of the functions associated with the linear functionals constructed from the refined inequalities and also prove the monotonicity property of the generalized Cauchy means. 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:
MZOS-117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Josip Pečarić
(autor)
Citiraj 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
