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: 196

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 \(n = 1, 2\).

Downloads

Download data is not yet available.

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

Downloads

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

License

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

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.