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Modified logarithmic Sobolev inequalities on \(\mathbb{R}\) - MaRDI portal

Modified logarithmic Sobolev inequalities on \(\mathbb{R}\) (Q944296)

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Modified logarithmic Sobolev inequalities on \(\mathbb{R}\)
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    Modified logarithmic Sobolev inequalities on \(\mathbb{R}\) (English)
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    15 September 2008
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    Sufficient conditions for a measure on the real line to satisfy a modified logarithmic Sobolev inequality were proved and discussed. Furthermore, under some mild assumptions it was also shown that the conditions are necessary. Concentration inequalities were also derived.
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    Sobolev inequalities
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    concentration
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