Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (2): 194-207.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.010

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Stable Determination of Convex Bodies from Intersection Bodies

  

  1. College of Mathematics and Statistics, Hexi University
  • Received:2015-03-21 Online:2017-06-30 Published:2020-10-23
  • About author:MA Tong-yi(1959-), male, native of Huining, Gansu, a professor of Hexi University, engages in convex geometric analysis and distance geometry study.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11561020,11371224);

Abstract: In this paper, by means of the dual Brunn-Minkowski theories and methods as well as the integral transform, we have established a stability version of nonsymmetric convex bodies from intersection bodies. In addition, a stability results of symmetric convex bodies from Lp-counterparts is established. 

Key words: convex body, intersection body, Lp-intersection body, spherical Radon transform, stability

CLC Number: