Lp-Dual geominimal surface area
نویسندگان
چکیده
* 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 Classification: 52A20 52A40.
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...
متن کاملThe mixed L p - dual affine surface area for multiple star bodies
Associated with the notion of the mixed Lp-affine surface area for multiple convex bodies for all real p (p 6= −n) which was introduced by Ye, et al. [D. Ye, B. Zhu, J. Zhou, arXiv, 2013 (2013), 38 pages], we define the concept of the mixed Lp-dual affine surface area for multiple star bodies for all real p (p 6= −n) and establish its monotonicity inequalities and cyclic inequalities. Besides, ...
متن کاملA new low power high reliability flip-flop robust against process variations
Low scaling technology makes a significant reduction in dimension and supply voltage, and lead to new challenges about power consumption such as increasing nodes sensitivity over radiation-induced soft errors in VLSI circuits. In this area, different design methods have been proposed to low power flip-flops and various research studies have been done to reach a suitable hardened flip-flops. In ...
متن کاملFunctional versions of L p - affine surface area and entropy inequalities . ∗
In contemporary convex geometry, the rapidly developing Lp-Brunn Minkowski theory is a modern analogue of the classical Brunn Minkowski theory. A cornerstone of this theory is the Lp-affine surface area for convex bodies. Here, we introduce a functional form of this concept, for log concave and s-concave functions. We show that the new functional form is a generalization of the original Lp-affi...
متن کاملNew L P Affine Isoperimetric Inequalities *
We prove new Lp affine isoperimetric inequalities for all p ∈ [−∞, 1). We establish, for all p 6= −n, a duality formula which shows that Lp affine surface area of a convex body K equals Ln2 p affine surface area of the polar body K◦.
متن کامل