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On Reverses of the L_p-Busemann-Petty Centroid Inequality and Its Applications
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：N[自然科学总论]
  • 相关基金：Supported by the National Natural Science Foundation of China (10671117);Academic Mainstay Foundation of Hubei Provincial De-partment of Education (D200729002);Science Foundation of China Three Gorges University
作者： Weidong Wang
关键词： convex, body, reverse, form, L, p-Busemann-Petty, CENTROID, INEQUALITY, L, p-centroid-affine, INEQUALITY, isotropic, constant, convex body, reverse form, L p-Busemann-Petty centroid inequality, L p-centroid-affine inequality, isotropic constant
中文摘要：

In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of the isotropic constant for convex bodies.

英文摘要：

In this paper,the reverse forms of the L p-Busemann-Petty centroid inequality are shown. As the applications of the reverse forms,we obtain the reverse forms of the L p-centroid-affine inequality and an upper bound of the isotropic constant for convex bodies.

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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981