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Received December 8, 2019; Accepted April 23, 2020; Published May 29, 2020
Abstract. Lutwak introduced the notion of i-th mixed affine surface areas and Leng defined the volume difference functions. In this paper, we establish difference inequalities of Brunn-Minkowski type and cycle type for i-th mixed affine surface areas. In particular, we obtain the Minkowski type inequality for the difference of i-th mixed affine surface areas.
How to Cite this Article:
Xia Zhao, Weidong Wang, Difference inequalities for the i-th mixed affine surface areas, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 20, pp. 1-9.