The mixed $L_p$ geominimal surface areas for multiple convex bodies
نویسندگان
چکیده
منابع مشابه
Lp-dual geominimal surface areas for the general Lp-intersection bodies
For 0 < p < 1, Haberl and Ludwig defined the notions of symmetric and asymmetric Lp-intersection bodies. Recently, Wang and Li introduced the general Lp-intersection bodies. In this paper, we give the Lp-dual geominimal surface area forms for the extremum values and Brunn-Minkowski type inequality of general Lp-intersection bodies. Further, combining with the Lp-dual geominimal surface areas, w...
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* Correspondence: [email protected] Department of Mathematics, China Three Gorges University, Yichang, 443002, China, Abstract Lutwak proposed the notion of Lp-geominimal surface area according to the Lpmixed volume. In this article, associated with the Lp-dual mixed volume, we introduce the Lp-dual geominimal surface area and prove some inequalities for this notion. 2000 Mathematics Subject Cla...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2015
ISSN: 0022-2518
DOI: 10.1512/iumj.2015.64.5623