An isoperimetric inequality in the plane with a log-convex density
نویسندگان
چکیده
منابع مشابه
A Reverse Isoperimetric Inequality for Convex Plane Curves∗
In this note we present a reverse isoperimetric inequality for closed convex curves, which states that if γ is a closed strictly convex plane curve with length L and enclosing an area A, then one gets L ≤ 4π(A+ |Ã|), where à denotes the oriented area of the domain enclosed by the locus of curvature centers of γ, and the equality holds if and only if γ is a circle. MSC 2000: 52A38, 52A40
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ژورنال
عنوان ژورنال: Ricerche di Matematica
سال: 2018
ISSN: 0035-5038,1827-3491
DOI: 10.1007/s11587-018-0382-z