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A sharp Rogers–Shephard type inequality for Orlicz-difference body of planar convex bodies

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Abstract

In this paper, we prove a sharp Rogers–Shephard type inequality for the Orlicz-difference body of planar convex bodies, which extend the works of Bianchini and Colesanti (Proc. Amer. Math. Soc. 138(7) (2008) 2575–2582).

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Acknowledgements

This research was supported by National NSF of China No. 11271244. The research of the first author was supported, in part, by National NSF of China No. 11271282

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Correspondence to HAILIN JIN.

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JIN, H., YUAN, S. A sharp Rogers–Shephard type inequality for Orlicz-difference body of planar convex bodies. Proc Math Sci 124, 573–580 (2014). https://doi.org/10.1007/s12044-014-0204-5

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  • DOI: https://doi.org/10.1007/s12044-014-0204-5

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