A strong form of the Quantitative Isoperimetric inequality
classification
🧮 math.MG
keywords
isoperimetricinequalityquantitativeasymmetryboundarycontrolsformfraenkel
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We give a refinement of the quantitative isoperimetric inequality. We prove that the isoperimetric gap controls not only the Fraenkel asymmetry but also the oscillation of the boundary.
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