The ith p-geominimal surface area

Lp-Dual geominimal surface area

* 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...

On the p-affine surface area

Inequalities for mixed p - affine surface area ∗

We prove new Alexandrov-Fenchel type inequalities and new affine isoperimetric inequalities for mixed p-affine surface areas. We introduce a new class of bodies, the illumination surface bodies, and establish some of their properties. We show, for instance, that they are not necessarily convex. We give geometric interpretations of Lp affine surface areas, mixed p-affine surface areas and other ...

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...

Urc 97134 Surface States and Effective Surface Area on Photoluminescent P - Type Porous

The present study is motivated by the possibility of utilizing porous silicon for spectral sensors. Pulse measurements on the porous-Si/electrolyte system are employed to determine the sufiace effective area and the surface-state density at various stages of the anodization process used to produce the porous material. Such measurements were combined with studies of the photolurninescence spectr...