Abstract
This note is concerned with intermediate inequalities which interpolate between the logarithmic Sobolev and the Poincare inequalities. For such generalized Poincare inequalities we improve upon the known constants from the literature. Cette note est consacree a des inegalites intermediaires qui interpolent entre les inegalites de Sobolev logarithmiques et les inegalites de Poincare. Pour de telles inegalites de Poincare generalisees, nous ameliorons les constantes donnees dans la litterature.
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