期刊文献+

对数凹函数的迷向常数

Isotropic constant for log-concave functions
下载PDF
导出
摘要 基于对数凹函数的迷向的定义,给出了对数凹函数迷向的3个条件,并证明了等价性.进一步地,给出了一个非凸体特征函数的迷向对数凹函数,并计算了其迷向常数. Based on the definition of the isotropy for the log-concave functions,we study some equivalence conditions to verify whether a log-concave function f is isotropic.Moreover,we show that there exists an isotropic log-concave function besides the characteristic function,and compute its isotropic constant.
作者 平小芳 PING Xiaofang(Zhejiang Post and Telecommunication College,Shaoxing 312016,Zhejiang Province,China)
出处 《应用数学与计算数学学报》 2018年第4期955-958,共4页 Communication on Applied Mathematics and Computation
关键词 对数凹函数 函数迷向 函数的迷向常数 log-concave function isotropic function isotropic constant for func-tions
  • 相关文献

参考文献4

二级参考文献47

  • 1何斌吾,冷岗松.迷向体与Bourgain问题[J].中国科学(A辑),2005,35(4):450-462. 被引量:12
  • 2陈巧云,何斌吾.凸体迷向条件的等价性[J].上海大学学报(自然科学版),2006,12(5):481-483. 被引量:3
  • 3吴力荣,何斌吾.几类特殊几何体的迷向常数[J].上海大学学报(自然科学版),2007,13(1):41-46. 被引量:2
  • 4MILMAN V D, PAJOR A. Isotropic position and inertiaellipsoilds and zonoids of the unit ball of a nomed n- dimensional space [ C ] // Geometric Aspects ofFunctional Analysis ( 1987--1988 ), Lecture Notes in Math 1376. Berlin: Springer, 1989:64-104.
  • 5LUTWAK E, YANG D, ZHANG G Y. A new ellipsoid associated with convex bodies [ J]. Duke Math J, 2000, 104(3 ) :375-390.
  • 6GIANNOPOULOS A. Notes on isotropic convex bodies [ D ]. Warsaw: Institute of Mathematics, Polish Academy of Sciences, 2003 : 10-15.
  • 7SCHMUCKENSCHLAGER M. Volume of intersection and sections of the unit ball of l [J]. Proc Amer Math Soc, 1998, 126:1527-1530.
  • 8n GAOP. A note on the volume of section of Bp [J]. Math Anal Appl, 2007, 326:632-640.
  • 9ALZER H. Inequalities for the volume of the unit ball in Rn [J]. Math Anal Appl, 2000, 136:353-363.
  • 10Milman V D, Pajor A. Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space. In: Geometric Aspects of Functional Analysis (1987-1988). Lecture Notes in Math,Vol 1376. Berlin: Springer, 1989.64~104.

共引文献11

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部