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凸体p-非对称度的稳定性
引用本文:国起. 凸体p-非对称度的稳定性[J]. 铁道师院学报, 2014, 0(4): 1-3
作者姓名:国起
作者单位:苏州科技学院数理学院,江苏苏州215009
基金项目:国家自然科学基金资助项目(11271282;11371013)
摘    要:证明了凸体p-非对称度在其最大最小值处的稳定性定理,其中关于1-非对称度在最小值1处的结论是该文的主要贡献。

关 键 词:p-非对称度  稳定性  凸体  Banach-Mazur距离  Hausdorff距离

Stability for p-measures of asymmetry for convex bodies
GUO Qi. Stability for p-measures of asymmetry for convex bodies[J]. Journal of University of Science and Technology of Suzhou:Social Science, 2014, 0(4): 1-3
Authors:GUO Qi
Affiliation:GUO Qi (School of Mathematics and Physics, SUST, Suzhou 215009, China)
Abstract:This paper shows some stability results of p-measures of asymmetry for convex bodies, among which the stability theorem for 1-measure at its minimal value 1 is the main contribution.
Keywords:p-measure of asymmetry  stability  convex bodies  Banach-Mazur distance  Hausdorff distance
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