Pregled bibliografske jedinice broj: 1193443
Generalizations of Steffensen's inequality by interpolating polynomials
Generalizations of Steffensen's inequality by interpolating polynomials // 8th European Congress of Mathematics Book of Abstracts / Bašić, Nino ; Hujdurović, Ademir ; Kutnar, Klavdija ; Pisanski, Tomaž ; Vitrih, Vito (ur.).
Koper: Univerza na Primorskem, 2021. str. 694-694 (poster, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Generalizations of Steffensen's inequality by
interpolating polynomials
Autori
Pečarić, Josip ; Perušić Pribanić, Anamarija ; Vukelić, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
8th European Congress of Mathematics Book of Abstracts
/ Bašić, Nino ; Hujdurović, Ademir ; Kutnar, Klavdija ; Pisanski, Tomaž ; Vitrih, Vito - Koper : Univerza na Primorskem, 2021, 694-694
Skup
8th European Congres of Mathematics
Mjesto i datum
Portorož, Slovenija, 20.07.2021. - 26.07.2021
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Steffensen's inequality, interpolating polynomials, n-convex functions
Sažetak
We present results obtained by one of the interpolating polynomials i.e. Lidstone’s polynomial. Firstly, we give few valuable identities and then using these identities we prove new generalizations of Steffensen’s inequality for (2n)−convex and (2n + 1)−convex functions. Further, using Cebyšev and Grüss type inequalities we consider the bounds for the integrals in the perturben ˇ versions of the previously described identities
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Hrvatska akademija znanosti i umjetnosti,
Građevinski fakultet, Rijeka
