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Some inequalities derived from log-Sobolev inequalities

Author(s): O. S. Rothaus
Journal: Proc. Amer. Math. Soc. 125 (1997), 3601-3603.
MSC (1991): Primary 47D07, 58G11
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Abstract: We show how a log-Sobolev inequality can be manipulated to give an improved version of itself.

References:

1.: O. Rothaus, Lower bounds for eigenvalues of regular Sturm Liouville operators and the logarithmic Sobolev inequality, Duke Math. J. 45 (1978), 851-862. MR 58:1368


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