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Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Rev.colomb.mat. vol.42 no.2 Bogotá July/Dec. 2008
1University of Split, Split, Croatia. Email: ujevic@pmfst.hr
2University of Split, Split, Croatia. Email: lucmij@pmfst.hr
An optimal 3-point quadrature formula of closed type is derived. The obtained optimal quadrature formula has better estimations of error than the well-known Simpson's formula. A few error inequalities for this formula are established.
Key words: Optimal quadrature formula, error inequalities, Ostrowski-like inequalities.
2000 Mathematics Subject Classification: 26D10, 41A55.
Se establece una fórmula de cuadratura óptima de 3 puntos de tipo cerrado. Dicha fórmula mejora la estimación de error de la bien conocida fórmula de Simpson. Se establecen algunas desigualdades de error para esta fórmula.
Palabras clave: Fórmula de cuadratura óptima, desigualdades de error, desigualdades de tipo de Ostrowski.
Texto completo disponible en PDF
References
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[8] Pearce, C., Pecaric, J., Ujevic, N. & Varosanec, S., `Generalizations of some inequalities of Ostrowski-Grüss type´, Math. Inequal. Appl. 3, 1 (2000), 25-34. [ Links ]
[9] Ujevic, N., `Inequalities of Ostrowski-Grüss type and applications´, Appl. Math. 29, 4 (2002), 465-479. [ Links ]
[10] Ujevic, N., `An optimal quadrature formula of open type´, Yokohama Math. J. 50, (2003), 59-70. [ Links ]
[11] Ujevic, N., `Error inequalities for a quadrature formula and applications´, Comput. Math. Appl. 48, 10-11 (2004a), 1531-1540. [ Links ]
[12] Ujevic, N., `Two sharp Ostrowski-like inequalities and applications´, Meth. Appl. Analysis 10, 3 (2004b), 477-486. [ Links ]
[13] Volkov, E., Numerical Methods, Mir Publishers, Moscow, 1986. [ Links ]
Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv42n2a07,
AUTHOR = {Ujevic, Nenad and Mijic, Lucija},
TITLE = {{An optimal 3-point quadrature formula of closed type and error bounds}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2008},
volume = {42},
number = {2},
pages = {209-220}
}