Pregled bibliografske jedinice broj: 804005
Generalisations of Steffensen's inequality via Fink identity and related results II
Generalisations of Steffensen's inequality via Fink identity and related results II // Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, 47 (2014), 221-239 doi:: 10.13137/0049-4704/11796 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalisations of Steffensen's inequality via Fink identity and related results II
Autori
Pečarić, Josip ; Perušić, Anamarija ; Vukelić, Ana
Izvornik
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste (0049-4704) 47
(2014);
221-239
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen’s inequality ; Fink’s identity ; Ostrowski inequality ; Čebyšev functional ; n-exponential convexity ; exponential convexity ; log-convexity ; means.
Sažetak
We use Fink’s identity to obtain new identities related to generalizations of Steffensen’s inequality. Ostrowski-type inequalities related to these generalizations are also given. Using inequalities for the Cebyšev functional we obtain bounds for these identities. Further, we use these identities to obtain new generalizations of Steffensen’s inequality for n-convex functions. Finally, we use these generalizations to construct a linear functional that generates exponentially convex functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
