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Volume 7, Issue 3, Article 90 |
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Generalizations of the Trapezoid Inequalities Based on a New Mean Value Theorem for the Remainder in Taylor's Formula
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Authors: |
A. I. Kechriniotis, N. D. Assimakis, |
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Keywords:
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Classical trapezoid inequality, Perturbed trapezoid inequality, Mean value theorem, Generalizations. |
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Date Received:
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01/04/05 |
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Date Accepted:
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10/05/06 |
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Subject Codes: |
26D15.
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Editors: |
Pietro Cerone, |
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Abstract: |
Generalizations of the classical and perturbed trapezoid inequalities are developed using a new mean value theorem for the remainder in Taylor's formula. The resulting inequalities for N-times differentiable mappings are sharp.
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