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凸几何经典不等式的蕴含关系
  • ISSN号：1003-3998
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：4339-4341
  • 语言：中文
  • 分类：O186.5[理学—数学;理学—基础数学]
  • 作者机构：[1]中国计量学院理学院信息与数学科学系,杭州310018, [2]上海大学数学系,上海200444
  • 相关基金：国家自然科学基金（10271071）,浙江省自然科学基金（Y605065）,浙江省教育厅科技计划基金（20050392）和山东省高校第五批中青年学术骨干基金（200203）资助
  • 相关项目：Lp空间中的凸体极值问题
作者： 冷岗松|赵长健|
关键词： Knesser—Suess不等式, 等周不等式, Winternitz不等式, Blaschke和, L’Hopital法则, 仿射表面积, Knesser-Siiss inequality, Isoperimetric inequlity, Winternitz inequlity, Blaschke addition, L＇HSpital＇s rule, Affine surface area.
中文摘要：

该文指出了凸几何分析中几个具有较高应用价值的经典不等式之间的蕴涵关系．

英文摘要：

The purpose of the present paper is to point out the relations of several famous classical inequalities which are some inequalities of singular importance in convex geometry.

同期刊论文项目
几何分析中的极值问题
期刊论文 38
Lp空间中的凸体极值问题
期刊论文 52
同项目期刊论文
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关于广义Busemann-Petty问题
Quasi L-p-Intersection bodies
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Inequalities for star duals of intersection bodies
On the generalized Busemann-Petty problem
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Veljan-Korchmaros型不等式的稳定性
Lp-对偶几何表面积
Inequalities relating to Lp-version of Petty＇s conjectured projection inequality
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拟Lp-混合相交体
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Several inequalities for L2-projection body
Isotropic dual p-surface area measure
Some Inequalities for the Lp-Mixed Quermassintegrals
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p-截面体的性质与推广
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Several properties of new ellipsoids
On polars of mixed projection bodies
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The Brunn-Minkowski inequality for volume differences
Mixed-mean inequalities for subsets
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Brunn-Minkowski Inequalities for Mixed Intersection Bodies
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L_p-dual mixed quermassintegrals
A type of monotonicity on the L_p centroid body and L_p projection body
凸体的宽度积分与仿射表面积
Aleksandrov-Fenchel 不等式及应用
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Inequalities for Mixed Intersection bodies
凸体几何中一些经典不等式的等价性
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带非光滑核的多线性奇异积分算子的有界性
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对偶Aleksandrov-Fenchel不等式的稳定性
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一类多线性积分算子的端点有界性
Busemann-Petty问题的对偶均质积分形式
关于新几何体Γ_pK的几个不等式
凸体的P次径向平均体的几个性质
关于凸体的Lp-曲率映象的不等式
Note on an inequality of Vicente Goncalves
Inequalities for Tφ-convex functions
Generalizations of mixed weighted power mean inequality
The John theorem for simplex
球面空间中的一类几何不等式
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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:5382