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Volume 9, Issue 2, Article 36 |
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On Quadrature Rules, Inequalities and Error Bounds
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Authors: |
Szymon Wasowicz, |
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Keywords:
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Approximate integration, Quadrature rules, Convex functions of higher order. |
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Date Received:
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06/06/07 |
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Date Accepted:
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22/05/08 |
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Subject Codes: |
Pri: 41A55; Sec: 26A51, 26D15.
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Editors: |
Pietro Cerone, |
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Abstract: |
The order structure of the set of six operators connected with quadrature rules is established in the class of 5-convex functions. An error bound of the Lobatto quadrature rule with five knots is given for less regular functions as in the classical result.
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