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: 219

Abstract

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

Downloads

Download data is not yet available.

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

Downloads

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

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.