Inequalities for star duals of intersection bodies

被引:0
|
作者
Yuan Jun [1 ]
Zhu Huawei
Leng Gangsong
机构
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
[2] Guangzhou Univ, Inst Software Engn, Guangzhou 510405, Guangdong, Peoples R China
[3] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
关键词
star body; star dual; intersection body; radial Blaschke sum; harmonic Blaschke sum;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present a new kind of duality between intersection bodies and projection bodies. Furthermore, we establish some counterparts of dual Brunn-Minkowski inequalities for intersection bodies.
引用
收藏
页码:297 / 306
页数:10
相关论文
共 50 条
  • [41] Generalized intersection bodies
    Milman, Emanuel
    JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 240 (02) : 530 - 567
  • [42] Complex intersection bodies
    Koldobsky, A.
    Paouris, G.
    Zymonopoulou, M.
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2013, 88 : 538 - 562
  • [43] Lp intersection bodies
    Jun, Yuan
    Wing-Sum, Cheung
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1431 - 1439
  • [44] Lp intersection bodies
    Haberl, Christoph
    ADVANCES IN MATHEMATICS, 2008, 217 (06) : 2599 - 2624
  • [45] Intersection bodies and polytopes
    Zhang, GY
    MATHEMATIKA, 1999, 46 (91) : 29 - 34
  • [46] Intersection bodies of polytopes
    Katalin Berlow
    Marie-Charlotte Brandenburg
    Chiara Meroni
    Isabelle Shankar
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2022, 63 : 419 - 439
  • [47] Intersection bodies and ellipsoids
    Goodey, P
    Weil, W
    MATHEMATIKA, 1995, 42 (84) : 295 - 304
  • [48] Intersection bodies and valuations
    Ludwig, Monika
    AMERICAN JOURNAL OF MATHEMATICS, 2006, 128 (06) : 1409 - 1428
  • [49] Non-intersection bodies, all of whose central sections are intersection bodies
    Yaskina, M.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (03) : 851 - 860
  • [50] ON IDEALS AND DUALS OF C-STAR-ALGEBRAS
    SUNDER, VS
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1984, 15 (06): : 601 - 608