Naslov
Iyengar type estimate of error in trapezoidal rule

Autori
Franjić, Iva ; Pečarić, Josip ; Perić, Ivan

Izvornik
International Journal of Pure and Applied Mathematics (1311-8080) 26 (2006), 3; 285-295

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Iyengar's inequality; Steffensen's inequality; trapezoidal rule; bounded higher derivatives

Sažetak
Using Hayashi's inequality, weighted Iyengar type inequality for functions with bounded higher derivatives is derived. This result generalizes results obtained in [P.Cerone, Generalised trapezoidal rules with error involving bounds of the n-th derivative, Math.Inequal.Appl. 5(3) (2002), 451-462] and [H.Gauchman, Some integral inequalities involving Taylor's remainder.I, Journal of Inequalities in Pure and Applied Mathematics, 3(2), Article 26, (2002)]. It also improves estimation obtained in [F.Qi, Inequalities for a weighted integral, Advanced Studies in Contemporary Mathematics (Kyungshang), 4(2) (2002), 93-101].

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA