Modified logarithmic Sobolev inequalities and transportation cost inequalities in \(\mathbb R^{n}\) (Q2390989)
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| Language | Label | Description | Also known as |
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| English | Modified logarithmic Sobolev inequalities and transportation cost inequalities in \(\mathbb R^{n}\) |
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Modified logarithmic Sobolev inequalities and transportation cost inequalities in \(\mathbb R^{n}\) (English)
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10 August 2009
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In the present paper the author has proved the modified logarithmic Sobolev inequalities and transportation cost inequalities for a certain probability measure by using Prekopa-Leindler inequalities following the idea of \textit{S. G. Bobkov} and \textit{M. Ledoux} [Geom. Funct. Anal. 10, No.~5, 1028--1052 (2000; Zbl 0969.26019)]. As an application the modified logarithmic Sobolev and transportation cost inequalities for certain probability measures are also given.
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