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Stability of some versions of the Prékopa–Leindler inequality
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Ball, Keith M. and Böröczky, Károly J. (2011) Stability of some versions of the Prékopa–Leindler inequality. Monatshefte für Mathematik, Vol.163 (No.1). pp. 1-14. doi:10.1007/s00605-010-0222-z ISSN 0026-9255.
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Official URL: http://dx.doi.org/10.1007/s00605-010-0222-z
Abstract
Two consequences of the stability version of the one dimensional Prékopa–Leindler inequality are presented. One is the stability version of the Blaschke–Santaló inequality, and the other is a stability version of the Prékopa– Leindler inequality for even functions in higher dimensions, where a recent stability version of the Brunn–Minkowski inequality is also used in an essential way.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Monatshefte für Mathematik | ||||
| Publisher: | Springer Verlag | ||||
| ISSN: | 0026-9255 | ||||
| Official Date: | May 2011 | ||||
| Dates: |
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| Volume: | Vol.163 | ||||
| Number: | No.1 | ||||
| Page Range: | pp. 1-14 | ||||
| DOI: | 10.1007/s00605-010-0222-z | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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