Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 1-6.

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Symmetry Function Induced by a Convex Body

  

  1. School of Sciences, Jimei University

  • Received:2008-10-23 Online:2011-03-30 Published:2023-05-08
  • About author:HUANG Long-guang(1961- ), male, native of Shanghang, Fujian, a professor of Jimei University, Ph.D., engages in applied functional analysis and optimization theory.
  • Supported by:
    Supported by the Natural Science Foundation of China(10771086); Supported by the Natural Science Foundation of Fujian Province(S0650021);

Abstract: This paper shows some properties of symmetry function induced by a convex body in a normal linear space. Some relationships between symmetry function induced by a convex body and Minkowski functional of the convex body are presented.

Key words: convex body, symmetry function, concave, Minkowski functional 

CLC Number: