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Volume 7, Issue 5, Article 185 |
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Difference of General Integral Means
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Authors: |
George Anastassiou, |
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Keywords:
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Inequalities, Averages of functions, General averages or means, Moments. |
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Date Received:
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02/05/06 |
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Date Accepted:
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02/06/06 |
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Subject Codes: |
26D10, 26D15, 28A25, 60A10, 60E15.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
In this paper we present sharp estimates for the difference of general integral means with respect to even different finite measures. This is achieved by the use of the Ostrowski and Fink inequalities and the Geometric Moment Theory Method. The produced inequalities are with respect to the supnorm of a derivative of the involved function.
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