EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 29(43), pp. 283--288 (1981)

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A NOTE ON STARSHAPED SETS

Sinisa Vre\'cica

Matematicki fakultet, Beograd, Yugoslavia

Abstract: We find the smallest Lipschitz constant for the radial projection of the unit sphere on the boundary of a compact star-shaped set containing the origin in the interior of its convex kernel. We also find the least upper bound of the upper outer surface area in the sense of Minkowski of the boundary of a compact star-shaped set contained in the unit ball and containing a concentric ball of radius a $(0Keywords: the smallest Lipschitz constant, the upper outer surface area in the sense of Minkowski

Classification (MSC2000): 52A30

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Electronic fulltext finalized on: 3 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition