Restricted Prékopa-Leindler inequality (Q1805965)
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scientific article; zbMATH DE number 1356076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Restricted Prékopa-Leindler inequality |
scientific article; zbMATH DE number 1356076 |
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Restricted Prékopa-Leindler inequality (English)
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1 November 1999
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The author proves a functional version of the classical Brunn-Minkowski inequality for restricted sums. He first proves a restricted form of Young's inequality and its converse, utilizing a method developed by himself previously, and then takes the limits in certain parameters. This idea results from an observation of Brascamp and Lieb. The proof is interesting.
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Prékopa-Leindler inequality
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functional version
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Brunn-Minkowski inequality
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restricted sums
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Young's inequality
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