The Dual Steiner Formula for Convex Compacta
Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 152

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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 : 52A20
@article{PIM_1991_N_S_50_64_a18,
     author = {Ljuban Dedi\'c},
     title = {The {Dual} {Steiner} {Formula} for {Convex} {Compacta}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {152 },
     publisher = {mathdoc},
     volume = {_N_S_50},
     number = {64},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a18/}
}
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Ljuban Dedić. The Dual Steiner Formula for Convex Compacta. Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 152 . http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a18/