An error estimate for the isoperimetric deficit

Daniel A. Klain

doi:10.1215/ijm/1258138231

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Home > Journals > Illinois J. Math. > Volume 49 > Issue 3 > Article

Fall 2005 An error estimate for the isoperimetric deficit

Daniel A. Klain

Illinois J. Math. 49(3): 981-992 (Fall 2005). DOI: 10.1215/ijm/1258138231

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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.

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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