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Volume 9, Issue 1, Article 3 |
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An Inequality for Correlated Measurable Functions
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Authors: |
Fabio Zucca, |
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Keywords:
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Integral inequalities, Measure, Cartesian product, Ordered set. |
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Date Received:
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01/12/07 |
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Date Accepted:
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24/01/08 |
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Subject Codes: |
26D15, 28A25.
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Editors: |
Shoshana Abramovich, |
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Abstract: |
A classical inequality, which is known for families of monotone functions, is generalized to a larger class of families of measurable functions. Moreover we characterize all the families of functions for which the equality holds. We give two applications of this result, one of them to a problem arising from probability theory.
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