On the Dual <Emphasis Type="Italic">p</Emphasis>-Measures of Asymmetry for Star Bodies |
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| Authors: | Xing Huang |
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| Institution: | 1.School of Mathematics and Information Science,Guangzhou University,Guangzhou, Guangdong,China;2.Academy for Intelligent Software,Guangzhou University,Guangzhou, Guangdong,China;3.Guangdong Provincial Engineering and Technology Research Center for Mathematical Education Software,Guangzhou University,Guangzhou, Guangdong,China;4.Institute of Mathematics and Computer Science,Guizhou Normal College,Guiyang, Guizhou,China;5.Department of Mathematics,Suzhou University of Science and Technology,Suzhou, Jiangsu,China |
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| Abstract: | Recently, the connection between p-measures of asymmetry and the Lp -mixed volumes for convex bodies was found soon after the p-measure of asymmetry was proposed, and the Orlicz-measures of asymmetry was proposed inspired by such a kind of connection. In this paper, by a similar way the dual p -measures of asymmetry for star bodies (naturally for convex bodies) is introduced first. Then the connection between dual p -measures of asymmetry and Lp -dual mixed volumes is established. Finally, the best lower and upper bounds of dual p-measures and the corresponding extremal bodies are discussed. |
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