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Volume 7, Issue 3, Article 84 |
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On Error Bounds for Gauss-Legendre and Lobatto Quadrature Rules
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Authors: |
Szymon Wasowicz, |
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Keywords:
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Convex functions of higher orders, Approximate integration, Quadrature rules. |
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Date Received:
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04/01/06 |
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Date Accepted:
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07/06/06 |
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Subject Codes: |
Pri: 41A55, 41A80 Sec: 26A51, 26D15.
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Editors: |
Narendra K. Govil, |
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Abstract: |
The error bounds for Gauss-Legendre and Lobatto quadratures are proved for
four times differentiable functions (instead of six times differentiable functions as in the classical results). Auxiliarily we establish some inequalities for 3-convex functions.
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