Abstract
A four part dissection and rearrangement provides a new proof of the isoperimetric inequality in the plane as well as a new approach to Bonnesen-type error estimates for the isoperimetric deficit of compact convex sets and of star bodies that are centrally symmetric with respect to the origin.
Citation
Daniel A. Klain. "An error estimate for the isoperimetric deficit." Illinois J. Math. 49 (3) 981 - 992, Fall 2005. https://doi.org/10.1215/ijm/1258138231
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