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Volume 4, Issue 1, Article 13 |
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Hadamard-type Inequalities for Quasiconvex Functions
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Authors: |
Nicolas Hadjisavvas, |
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Keywords:
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Quasiconvex function, Hadamard inequality. |
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Date Received:
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03/12/02 |
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Date Accepted:
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19/12/02 |
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Subject Codes: |
26D15,26B25,39B62
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Editors: |
Alexander M. Rubinov (1940-2006), |
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Abstract: |
Recently Hadamard-type inequalities for nonnegative, evenly quasiconvex functions which attain their minimum have been established. We show that these inequalities remain valid for the larger class containing all nonnegative quasiconvex functions, and show equality of the corresponding Hadamard constants in case of a symmetric domain.
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