Dual Orlicz affine surface area |
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| Authors: | Li Gao Tongyi Ma Yuanyuan Guo |
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| Institution: | 1.College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070, Gansu,China;2.College of Mathematics and Statistics,Hexi University,Zhangye 734000, Gansu,China |
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| Abstract: | 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. |
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