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Volume 8, Issue 4, Article 94 |
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Sharp Integral Inequalities for Products of Convex Functions
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Authors: |
Villő Csiszár, Tamás F. Móri, |
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Keywords:
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Convexity, Chebyshev's integral inequality, Grüss inequality, Andersson inequality. |
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Date Received:
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07/06/07 |
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Date Accepted:
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28/10/07 |
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Subject Codes: |
26D15.
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Editors: |
Ioan Gavrea, |
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Abstract: |
In this note we present exact lower and upper bounds for the integral of a product of nonnegative convex resp. concave functions in terms of the product of individual integrals. They are found by adapting the convexity method to the case of product sets.
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