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Some Generalized Error Inequalities and Applications

Abstract

We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson's , and Lobatto four-point quadrature rule for twice-differentiable mapping. Moreover, it is shown that the corresponding optimal quadrature formula presents better estimate in the context of four-point quadrature formulae of closed type. A unified treatment of error inequalities for different classes of function is also given.

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Correspondence to Fiza Zafar.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zafar, F., Mir, N.A. Some Generalized Error Inequalities and Applications. J Inequal Appl 2008, 845934 (2008). https://doi.org/10.1155/2008/845934

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  • DOI: https://doi.org/10.1155/2008/845934

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