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Volume 3, Issue 2, Article 26 |
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Some Integral Inequalities Involving Taylor's Remainder. I
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Authors: |
Hillel Gauchman, |
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Keywords:
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Taylor's remainder, Steffensen's inequality, Iyengar's inequality, Hermite-Hadamard's inequality. |
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Date Received:
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17/09/01 |
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Date Accepted:
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23/01/02 |
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Subject Codes: |
26D15
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Editors: |
George Anastassiou, |
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Abstract: |
In this paper, using Steffensen's inequality we prove several inequalities involving Taylor's remainder. Among the simplest particular cases we obtain Iyengar's inequality and one of Hermite-Hadamard's inequalities for convex functions.
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