On the Steiner inequality for the \(L_p\) surface area
The authors consider Steiner inequalities for the \(L_p\) surface area for \(p > 1\). They give two approaches: One bases on the machinery of \textit{E. Lutwak} et al. [Int. Math. Res. Not. 2006, No. 1, Article ID 62987, 21 p. (2006; Zbl 1110.46023)].\N\NThe other is a direct proof of the Steiner inequality for the \(L_p\) surface area. Also, the authors provide a new proof of Lutwak's \(L_p\) isoperimetric inequalities for \(p > 1\) together with equality conditions.
scientific article; zbMATH DE number 7945729
scientific article