INEQUALITIES FOR Lp-MIXED CURVATURE IMAGES |
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| Authors: | Lu Fenghong Wang Weidong |
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| Institution: | [1]Department of Mathematics, Shanghai University of Electric Power, Shanghai 200090, China [2]Department of Mathematics, China Three Goeges University, Yichang 443002, China |
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| Abstract: | Lutwak, Yang, and Zhang posed the notion of Lp-curvature images and established several Lp analogs of the affine isoperimetric inequality. In this article, the notion of Lp-mixed curvature images is introduced, Lp-curvature images being a special case. The properties and Lp analogs of the affine isoperimetric inequality are established for Lp-mixed curvature images. |
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| Keywords: | Lp-mixed curvature images affine isoperimetric inequality Lp-mixed projection body Lp-mixed centroid body |
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