Analysis finds a new isoperimetric-type inequality for projection entropy in convex bodies, suggesting stronger mathematical bounds.
The projection entropy of convex bodies in ℝ n is introduced. By using introduced p-quermassintegrals, we prove an isoperimetric-type inequality for projection entropy. Some stronger inequalities than the classical isoperimetric inequality and the dual Urysohn inequality are obtained.
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Yin et al. (2025) studied this question.
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