“…The case of equality in Theorem 3.1 has been characterized by Dubuc [26]. In Boroczky, De [13], the following stability version of the Prekopa-Leindler inequality is verified.…”
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of the logarithmic Brunn-Minkowski inequality and the logarithmic Minkowski inequality for convex bodies is established.
“…The case of equality in Theorem 3.1 has been characterized by Dubuc [26]. In Boroczky, De [13], the following stability version of the Prekopa-Leindler inequality is verified.…”
In the case of symmetries with respect to n independent linear hyperplanes, a stability version of the logarithmic Brunn-Minkowski inequality and the logarithmic Minkowski inequality for convex bodies is established.
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