Prékopa-Leindler不等式的稳定性
Stability of some versions of the Prékopa-Leindler inequality
摘要：
给出了一维Prékopa-Leindler不等式稳定性的两个结果.一个是Blaschke-Santaló不等式的稳定性版本，另一个是高维偶函数的Prékopa-Leindler不等式的稳定性版本，其中最近的Brunn-Minkowski不等式的稳定性版本也以基本的方式使用。
英文摘要：
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.
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