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The Generalized L_p-Mixed Affine Surface Area
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作者 Tong Yi MA 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第11期1775-1788,共14页
Abstract In this article, we put forward the concept of the (i,j)-type Lp-mixed alpine surface area, such that the notion of Lp-affine surface area which be shown by Lutwak is its special cases. Furthermore, applyin... Abstract In this article, we put forward the concept of the (i,j)-type Lp-mixed alpine surface area, such that the notion of Lp-affine surface area which be shown by Lutwak is its special cases. Furthermore, applying this concept, the Minkowski inequality for the (i, -p)-type Lp-mixed affine surface area and the extensions of the well-known Lp-Petty atone projection inequality are established, respectively. Besides, we give an affirmative answer for the generalized Lp-Winterniz monotonicity problem. 展开更多
关键词 Convex body star body i-th Lp-mixed curvature function i-th Lp-mixed curvature im-age (i j)-type Lp-mixed affine surface area
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Dual Orlicz Affine Surface Area
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作者 GAO Li MA Tongyi GUO Yuanyuan 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2016年第5期433-437,共5页
According to the notion of Orlicz mixed volume, in this paper, we extend L_p-dual affine surface area to the Orlicz version. Further, we obtain the affine isoperimetric inequality and the Blachke-Santaló inequali... According to the notion of Orlicz mixed volume, in this paper, we extend L_p-dual affine surface area to the Orlicz version. Further, we obtain the affine isoperimetric inequality and the Blachke-Santaló inequality for the dual Orlicz affine surface area. Besides, we also get the monotonicity inequality for Orlicz dual affine surface area. 展开更多
关键词 L_p-dual affine surface area dual Orlicz mixed volume dual Orlicz affine surface area
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