Naslov
On corrected Bullen-Simpson's 3/8 inequality

Autori
Franjić, Iva ; Pečarić, Josip

Izvornik
Tamkang journal of mathematics (0049-2930) 37 (2006), 2; 135-148

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

Ključne riječi
quadrature formulae; corrected Simpson's 3/8 and corrected Maclaurin's formulae; convex functions; Bernoulli polynomials; functions of bounded variation; Lipschitzian functions

Sažetak
The aim of this paper is to derive corrected Bullen-Simpson's 3/8 inequality, starting from corrected Simpson's 3/8 and corrected Maclaurin's formula. By corrected we mean formulae that approximate the integral not only with the values of the function in certain points but also with the value of the first derivative in end points of the interval. These formulae will have a higher degree of exactness than formulae derived in [M.Matić, J.Pečarić, A.Vukelić, On generalization of Bullen-Simpson's inequality, Rocky Mountain J. Math. 35 (2005), 1727-1754.]

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA