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Volume 5, Issue 3, Article 66 |
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Improvements of Euler-Trapezoidal Type Inequalities with Higher-Order Convexity and Applications
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Authors: |
Dah-Yan Hwang, |
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Keywords:
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Hadamard inequality, Euler formula, Convex functions, Integral inequalities, Numerical integration. |
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Date Received:
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28/05/03 |
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Date Accepted:
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12/04/04 |
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Subject Codes: |
26D15, 26D20.
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Editors: |
Charles E. M. Pearce, |
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Abstract: |
We improve a bounds relating to Euler's formula for the case of a function with higher-order convexity properties. These are used to improve estimates of the error involved in the use of the trapezoidal formula for integrating such a function.
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