A generalization of the modified Simpson's rule and error bounds
Ujevic, Nenad
ANZIAM Journal, Tome 48 (2008), / Harvested from Australian Mathematical Society
Link
Link
Link

A generalization of the modified Simpson's rule is derived. Various error bounds for this generalization are established. An application to Dawson integral is given. References G. A. Anastassiou, Ostrowski type inequalities, Proc. Amer. Math. Soc., Vol. 123(12), (1995), 3775--3781. P. Cerone and S. S. Dragomir, Midpoint-type rules from an inequalities point of view, handbook of analytic-computational methods in applied mathematics, Editor: G. Anastassiou, CRC Press, New York, (2000), 135--200. P. Cerone and S. S. Dragomir, Trapezoidal-type rules from an inequalities point of view, handbook of analytic-computational methods in applied mathematics, Editor: G. Anastassiou, CRC Press, New York, (2000), 65--134. Lj. Dedic, M. Matic and J. Pecaric, On Euler trapezoid formulae, Appl. Math. Comput., 123 (2001), 37--62. http://dx.doi.org/10.1016/S0096-3003(00)00054-0 C. E. M. Pearce, J. Pecaric, N. Ujevic and S. Varosanec, Generalizations of some inequalities of Ostrowski--Gruss type, Math. Inequal. Appl., 3(1), (2000), 25--34. http://www.mia-journal.com/files/3-1/full/03-03.PDF N. Ujevic and A. J. Roberts, A corrected quadrature formula and applications, ANZIAM J., 45(E), (2004), E41--E56. http://anziamj.austms.org.au/V45/E051

Publié le : 2008-01-01
DOI : https://doi.org/10.21914/anziamj.v47i0.2 
@article{2,
     title = {A generalization of the modified Simpson's rule and error bounds},
     journal = {ANZIAM Journal},
     volume = {48},
     year = {2008},
     doi = {10.21914/anziamj.v47i0.2},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/2}
}

Ujevic, Nenad. A generalization of the modified Simpson's rule and error bounds. ANZIAM Journal, Tome 48 (2008) . doi : 10.21914/anziamj.v47i0.2. http://gdmltest.u-ga.fr/item/2/