Double inequalities of Newton's quadrature rule

Authors

  • Marius Heljiu University of Petrosani, Romania

DOI:

https://doi.org/10.33993/jnaat352-840

Keywords:

Newton's inequality, double integral inequalities, numerical integration
Abstract views: 234

Abstract

In this paper double inequalities of Newton's quadrature rule are given.

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References

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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. 65-34, 2000, https://doi.org/10.1201/9781420036053.ch3 DOI: https://doi.org/10.1201/9781420036053.ch3

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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

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Ujević, N., Some double integral inequalities and applications, Acta Math. Univ. Comenianae, 71 (2), pp. 187, 2002.

Ujević, N., Double integral inequalities of simpson type and applications, J. Appl. Math. & Computing, 14, (1-2), pp. 213-223, 2004, https://doi.org/10.1007/bf02936109 DOI: https://doi.org/10.1007/BF02936109

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Published

2006-08-01

How to Cite

Heljiu, M. (2006). Double inequalities of Newton’s quadrature rule. Rev. Anal. Numér. Théor. Approx., 35(2), 141–146. https://doi.org/10.33993/jnaat352-840

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