Pregled bibliografske jedinice broj: 1021294
Generalizations of Steffensen's inequality via two-point Abel-Gontscharoff polynomial
Generalizations of Steffensen's inequality via two-point Abel-Gontscharoff polynomial // Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 27 (2019), 2; 121-137 doi:0.2478/auom-2019-0023 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalizations of Steffensen's inequality via two-point Abel-Gontscharoff polynomial
Autori
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Smoljak Kalamir, Ksenija
Izvornik
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica (1224-1784) 27
(2019), 2;
121-137
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen’s inequality ; generalizations ; n-convex functions ; Abel-Gontscharoff polynomial ; Ostrowski-type inequality ; Grüss-type inequality
Sažetak
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Čebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
