Pregled bibliografske jedinice broj: 841550
Generalizations of Steffensen's inequality via some Euler-type identities
Generalizations of Steffensen's inequality via some Euler-type identities // Acta Universitatis Sapientiae Mathematica, 8 (2016), 1; 103-126 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 841550 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Steffensen's inequality via some Euler-type identities
Autori
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija
Izvornik
Acta Universitatis Sapientiae Mathematica (1844-6094) 8
(2016), 1;
103-126
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen’s inequality; Euler-type identities; Bernoulli polynomials; Ostrowski-type inequalities; Čebyšev functional
Sažetak
Using Euler-type identities some new generalizations of Steffensen's inequality for n−convex functions are obtained. Moreover, the Ostrowski-type inequalities related to obtained generalizations are given.ˇ Furthermore, using inequalities for the Čebyšev functional in terms of the first derivative some new bounds for the remainder in identities related to generalizations of Steffensen's inequality are proven.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
