Double inequalities for quadrature formula of Gauss type with two nodes

Authors

  • Marius Heljiu University of Petroşani, Romania

DOI:

https://doi.org/10.33993/jnaat371-875

Keywords:

double integral inequalities, numerical integration
Abstract views: 223

Abstract

In this paper upper and lower error bounds for Gauss's quadrature rule with two nodes are given.

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References

Cerone, P., Three Points Rules in Numerical Integration, Nonlinear Anal. Theory Methods Appl., 47, no. 4, pp. 2341-2352, 2001, https://doi.org/10.1016/s0362-546x(01)00358-3 DOI: https://doi.org/10.1016/S0362-546X(01)00358-3

Cerone, P. and Dragomir, S.S., Midpoint-Type Rules from an Inequalities Point of View, Handbook of Analytic-Computational Methods in Applied Mathematics, Editor: G. Anastassiou, CRC Press, New York, pp. 135-200, 2000, https://doi.org/10.1201/9780429123610-4 DOI: https://doi.org/10.1201/9780429123610-4

Cerone, P. and Dragomir, S.S., Trapezoidal-Type Rules from an Inequalities Point of View, Handbook of Analytic-Computational Methods in Applied Mathematics, Editor: G. Anastassiou, CRC Press, New York, pp. 65-134, 2000, https://doi.org/10.1201/9780429123610-3 DOI: https://doi.org/10.1201/9780429123610-3

Dragomir, S.S., Agarwal, R.P. and Cerone, P., On Simpson's Inequality and Applications, J. Inequal. Appl., 5, pp. 533-579, 2000. DOI: https://doi.org/10.1155/S102558340000031X

Dragomir, S.S., Pecarić, J. and Wang, S., The Unified Treatment of Trapezoid, Simpson and Ostrowski Type Inequalities for Monotonic Mappings and Applications, Math. Comput. Modelling, 31, pp. 61-70, 2000, https://doi.org/10.1016/s0895-7177(00)00046-7 DOI: https://doi.org/10.1016/S0895-7177(00)00046-7

Heljiu, M., Double Inequalities of Newton's Quadrature Rule, Revue D'Analyse Numerique et de Theorie de L'Aproximation, 35, no. 2, pp. 141-147, 2006, http://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no2-art2

Ionescu, D.V., Numerical Integration, Ed. Tehnică, Bucureşti, 1957 (in Romanian).

Ujevic, N., Some Double Integral Inequalities and Applications, Acta Math. Univ. Comenianae, 71, no. 2, pp. 187, 2002.

Ujevic, N., Double Integral Inequalities of Simpson Type and Applications, J. Appl. Math. & Computing, 14, no. 1-2, pp. 213-223, 2004, https://doi.org/10.1007/bf02936109 DOI: https://doi.org/10.1007/BF02936109

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Published

2008-02-01

How to Cite

Heljiu, M. (2008). Double inequalities for quadrature formula of Gauss type with two nodes. Rev. Anal. Numér. Théor. Approx., 37(1), 53–57. https://doi.org/10.33993/jnaat371-875

Issue

Vol. 37 No. 1 (2008)

Section

Articles

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