Discrete centro-affine curvature for convex polygons (Q1622582)

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scientific article; zbMATH DE number 6981361
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Discrete centro-affine curvature for convex polygons
scientific article; zbMATH DE number 6981361

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    Discrete centro-affine curvature for convex polygons (English)
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    19 November 2018
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    The author introduces a centro-affine curvature for planar convex polygons, which serves to define non-trivial affine length and \(p\)-affine length for polygons. These concepts of affine length are shown to be similar to their counterparts defined for smooth convex bodies, in that they satisfy analogous affine isoperimetric type inequalities. For the entire collection see [Zbl 1392.52001].
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    discrete centro-affine curvature
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