Pregled bibliografske jedinice broj: 767203
Generalizations of Steffensen's inequality via Taylor's formula
Generalizations of Steffensen's inequality via Taylor's formula // Journal of inequalities and applications, (2015), 207-1 doi:10.1186/s13660-015-0702-8 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 767203 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Steffensen's inequality via Taylor's formula
Autori
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija
Izvornik
Journal of inequalities and applications (1029-242X)
(2015);
207-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen's inequality; Taylor's formula; Čebyšev functional; Ostrowski-type inequality; Stolarsky-type mean
Sažetak
We generalize Steffensen's inequality to the class of n-convex functions using Taylor's formula. Further, we use inequalities for the Čebyšev functional to obtain bounds for identities related to generalizations of Steffensen's inequality and we give Ostrowski-type inequalities related to obtained generalizations. Finally, we apply our results to obtain new Stolarsky-type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
University of Rijeka 13.05.1.1.02
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:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
