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An optimal 3-point quadrature formula of closed type and error bounds
Una fórmula de cuadratura óptima de 3 puntos de tipo cerrado y error de frontera
Palabras clave:
Optimal quadrature formula, error inequalities, Ostrowski-like inequalities, 2000 Mathematics Subject Classification. 26D10, 41A55 (en)Descargas
Abstract. 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.
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.
Referencias
Atkinson, K., and Han, W. Theoretical numerical analysis: A functional analysis framework. Springer-Verlag, New York-Berlin-Heidelberg, 2001.
Cerone, P. Three points rules in numerical integration. Nonlinear Anal. Theory Methods Appl. 47, 4 (2001), 2341-2352.
Cruz-Uribe, D., and Neugebauer, C. J. Sharp error bounds for the trapezoidal rule and Simpson’s rule. J. Inequal. Pure Appl. Math. 3, 4 (2002), 1-22.
Dragomir, S. S., Agarwal, R. P., and Cerone, P. On Simpson’s inequality and applications. J. Inequal. Appl. 5 (2000), 533-579.
Dragomir, S. S., Cerone, P., and Roumeliotis, J. A new generalization of Ostrowski’s integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means. Appl. Math. Lett. 13 (2000), 19-25.
Dragomir, S. S., Pecaric, J., and Wang, S. The unified treatment of trapezoid, Simpson and Ostrowski type inequalities for monotonic mappings and applications. Math. Comput. Modelling 31 (2000), 61-70.
Mitrinovic, D. S., Pecaric, J., and Fink, A. M. Classical and new inequalities in analysis. Kluwer Acad. Publ., Dordrecht-Boston-London, 1993.
Pearce, C. E. M., Pecaric, J., Ujevic, N., and Varosanec, S. Generalizations of some inequalities of Ostrowski-Griiss type. Math. Inequal. Appl. 3, 1 (2000), 25-34.
Ujevic, N. Inequalities of Ostrowski-Griiss type and applications. Appl. Math. 29, 4 (2002), 465-479.
Ujevic, N. An optimal quadrature formula of open type. Yokohama Math. J. 50 (2003), 59-70. [11] Ujevic, N. Error inequalities for a quadrature formula and applications. Comput. Math. Appl. 48, 10-11 (2004), 1531-1540.
Ujevic, N. Two sharp Ostrowski-like inequalities and applications. Meth. Appl. Analysis 10, 3 (2004), 477-486.
Volkov, E. A. Numerical methods. Mir Publishers, Moscow, 1986.
