Pregled bibliografske jedinice broj: 691484
Cerone's generalizations of Steffensen's inequality
Cerone's generalizations of Steffensen's inequality // Tatra mountains mathematical publications, 58 (2014), 53-75 doi:10.2478/tmmp-2014-0006 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 691484 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Cerone's generalizations of Steffensen's inequality
Autori
Pečarić, Josip ; Perušić, Anamarija ; Smoljak, Ksenija
Izvornik
Tatra mountains mathematical publications (1210-3195) 58
(2014);
53-75
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen inequality; monotonic functions; weaker conditions; exponential convexity; Stolarsky type means
Sažetak
In this paper generalizations of Steffensen’s inequality with bounds involving any two subintervals motivated by Cerone’s generalizations are given. Furthermore, weaker conditions for Cerone’s generalization as well as for new generalizations obtained in this paper are given. Moreover, functionals defined as the difference between the left-hand and the right-hand side of these generalizations are studied and new Stolarsky type means related to them are obtained.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Temeljne tehničke znanosti
POVEZANOST RADA
Projekti:
114-0000000-3145 - Numerički 3D kemo-higro-termo-mehanički model betona (Ožbolt, Joško, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
