  Log-concave distributions include some important distributions such as normal
distribution, exponential distribution and so on. In this note, we show
inequalities between two Lp-norms for log-concave distributions on the
Euclidean space. These inequalities are the generalizations of the upper and
lower bound of the differential entropy and are also interpreted as a kind of
expansion of the inequality between two Lp-norms on the measurable set with
finite measure.
