EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 50(64) Preimenovati datoteke, proveriti paginaciju!!!, pp. 152--158 (1991)

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The dual Steiner formula for convex compacta

Ljuban Dedi{\cj}

Sveu{\ch}ili{\sh}te u Splitu, Teslina 12/3, Split

Abstract: The classical Steiner formula deals with the volume of $K+rD_n$, where $K$ is a convex compact set in $\R^n$, $r\ge0$, and $D_n$ the Euclidean disc in $\R^n$. We compute the volume of $(K+rD_n)^*$, where $K^*$ means the dual of $K$. We also represent some Steiner functionals by integrals and prove some inequalities.

Classification (MSC2000): 52A20

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Electronic fulltext finalized on: 2 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