Some Inequalities for the Lp-Curvature Image

نویسندگان

  • Xiang Yu
  • Peter Pang
چکیده

Lutwak introduced the notion of Lp-curvature image and proved an inequality for the volumes of convex body and its Lp-curvature image. In this paper, we first give an monotonic property of Lpcurvature image. Further, we establish two inequalities for the Lp-curvature image and its polar, respectively. Finally, an inequality for the volumes of Lp-projection body and Lp-curvature image is obtained.

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تاریخ انتشار 2009