The paper establishes optimal stability versions of the isominwidth inequality for ball convex bodies with respect to Hausdorff distance and symmetric difference metric in all three constant curvature planes.
On a generalization of the Blaschke-Lebesgue theorem for disk-polygons
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abstract
In this paper we prove an extension of the Blaschke-Lebesgue theorem for a family of convex domains called disk-polygons. Also, this provides yet another new proof of the Blaschke-Lebesgue theorem.
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2026 1verdicts
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Optimal stability of P\'al's isominwidth inequality for ball convex bodies in planes of constant curvature
The paper establishes optimal stability versions of the isominwidth inequality for ball convex bodies with respect to Hausdorff distance and symmetric difference metric in all three constant curvature planes.