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Volume 10, Issue 3, Article 65 |
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Dragomir-Agarwal Type Inequalities for Several Families of Quadratures
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Authors: |
I. Franjic, Josip E. Pecaric, |
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Keywords:
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Dragomir-Agarwal-type inequalities, $k$-convex functions, General 3-point, 4-point and 5-point quadrature formulae, Corrected quadrature formulae. |
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Date Received:
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05/05/2009 |
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Date Accepted:
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15/09/2009 |
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Subject Codes: |
26D15, 65D30, 65D32.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
Inequalities estimating the absolute value of the difference between the integral and the quadrature, i.e. the Dragomir-Agarwal-type inequalities, are given for the general 3, 4 and 5-point quadrature formulae, both classical and corrected. Beside values of the function in the chosen nodes, "corrected" quadrature formula includes values of the first derivative at the end points of the interval and has a higher accuracy than the adjoint classical quadrature formula.
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