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Approximating measures and sets of constant width. (Italian) Zbl 0563.28004

The authors give, among other things, a significant upper bound for the discontinuities of approximating measures \(\nu_ t(E)\) and \(\nu_ t(\partial E)\) at \(t=\delta\), where E is a set of constant width; they give also some sufficient conditions so that these \(\nu_ t\) result continuous at \(t=\delta\).

MSC:

28A75 Length, area, volume, other geometric measure theory
52A10 Convex sets in \(2\) dimensions (including convex curves)
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References:

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