Pregled bibliografske jedinice broj: 691029
Generalisations of Steffensen's inequality via Fink identity and related results
Generalisations of Steffensen's inequality via Fink identity and related results // Advances in inequalities and applications, 2014 (2014), 9-1 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 691029 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalisations of Steffensen's inequality via Fink identity and related results
Autori
Pečarić, Josip ; Perušić, Anamarija ; Vukelić, Ana
Izvornik
Advances in inequalities and applications (2050-7461) 2014
(2014);
9-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen inequality; Montgomery identity; Fink identity; $n$-convex functions; $n$-exponentially convexity; means.
Sažetak
Starting from the result given in \cite{;andrea}; where the authors gave the extension of weighted Montgomery identity using Fink identity from \cite{;F2};, we give the generalizations of Steffensen's inequality. Also, we investigate the exponential convexity of differences of the left- hand and right-hand side of these inequalities. Using these differences, we produce new exponentially convex functions. They are used in studying Stolarsky type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
