Double inequalities for quadrature formula of Gauss type

Authors

  • Marius Heljiu University of Petrosani, Romania

DOI:

https://doi.org/10.33993/jnaat402-1045

Keywords:

quadrature rule, double integral inequalities, numerical integration
Abstract views: 225

Abstract

Double inequalities for the remainder term of the Gauss quadrature formula are given. These inequalities are sharp. Will also be considered particular cases for \(n = 1, 2\).

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References

M. Heljiu, Double Inequalities for quadrature formula of Gauss type with two nodes, Rev. Anal. Numér. Théor. Approx., XXXVII, no. 1, pp. 53-57, 2008, http://ictp.acad.ro/jnaat/journal/article/view/2008-vol37-no1-art6

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

N. Ujevic, Some Double Integral Inequalities and Applications, Acta Math. Univ. Comenianae, 71(2), pp. 187, 2002.

N. Ujevic, Double Integral Inequalities of Simpson Type and Applications, J. Appl. Math. & Computing, 14, Nos. 1-2, pp. 213-223, 2004, https://doi.org/10.1007/bf02936109 DOI: https://doi.org/10.1007/BF02936109

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Published

2011-08-01

How to Cite

Heljiu, M. (2011). Double inequalities for quadrature formula of Gauss type. Rev. Anal. Numér. Théor. Approx., 40(2), 156–163. https://doi.org/10.33993/jnaat402-1045

Issue

Vol. 40 No. 2 (2011)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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