Petty Projection Inequalities for the General L_p-Mixed Projection Bodies 被引量：3

Petty Projection Inequalities for the General L_p-Mixed Projection Bodies

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摘要 In this paper,the definition of the general L p-mixed projection bodies is introduced,and the general L p-projection bodies given by Ludwig is a special case for the general L p-mixed projection bodies.Then the Petty projection inequality for the general L p-mixed projection bodies is shown.Moreover,the monotonicity for the general L p-mixed projection bodies is obtained. In this paper,the definition of the general L p-mixed projection bodies is introduced,and the general L p-projection bodies given by Ludwig is a special case for the general L p-mixed projection bodies.Then the Petty projection inequality for the general L p-mixed projection bodies is shown.Moreover,the monotonicity for the general L p-mixed projection bodies is obtained.

作者 WAN Xiaoyan WANG Weidong

机构地区 Department of Mathematics

出处《Wuhan University Journal of Natural Sciences》 CAS 2012年第3期190-194,共5页 武汉大学学报（自然科学英文版）

关键词 Petty projection inequalities general Lp-mixed projection bodies MONOTONICITY the Minkowski inequality the general Lp-moment bodies Petty projection inequalities general Lp-mixed projection bodies monotonicity the Minkowski inequality the general Lp-moment bodies

分类号 O184 [理学—数学]

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参考文献2

1LENG Gangsong, ZHAO Changjian, HE Binwu & LI XiaoyanDepartment of Mathematics, Shanghai University, Shanghai 200436, China,Department of Mathematics, Binzhou Teachers College, Binzhou 256604, China.Inequalities for polars of mixed projection bodies[J].Science China Mathematics,2004,47(2):175-186. 被引量：9
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共引文献18

1MA Jianyi,YANG Wenjing,ZHOU Yanping.Some Inequalities about the General Lp-Mixed Width-Integral of Convex Bodies[J].Wuhan University Journal of Natural Sciences,2022,27(4):281-286.
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同被引文献12

1WANG Weidong1,2 1. Department of Mathematics, China Three Gorges University, Yichang 443002, Hubei, China,2. Department of Mathematics, Hubei University for Nationalities, Enshi 445000, Hubei, China.On Reverses of the L_p-Busemann-Petty Centroid Inequality and Its Applications[J].Wuhan University Journal of Natural Sciences,2010,15(4):292-296. 被引量：3
2王卫东,冷岗松.联系投影不等式Petty猜想的L_p-形式的不等式[J].应用数学和力学,2007,28(2):245-252. 被引量：6
3Wei Dong WANG,Gang Song LENG.The Petty Projection Inequality for L_p-Mixed Projection Bodies[J].Acta Mathematica Sinica,English Series,2007,23(8):1485-1494. 被引量：12
4王卫东,冷岗松.关于Lp-质心体的单调性[J].系统科学与数学,2008,28(2):154-162. 被引量：4
5王卫东,冷岗松,卢峰红.Lp-投影体的均质积分和对偶均质积分的Brunn-Minkowski不等式[J].数学年刊（A辑）,2008,29(2):209-220. 被引量：3
6王卫东,魏代俊,向宇.关于L_p-投影体的单调性[J].数学进展,2008,37(6):690-700. 被引量：1
7WANG Wei-dong,WEI Dai-jun,XIANG Yu.On Reverses of the Lp-petty Projection Inequality[J].Chinese Quarterly Journal of Mathematics,2009,24(4):491-498. 被引量：1
8王卫东,冷岗松.INEQUALITIES OF THE QUERMASSINTEGRALS FOR THE L_p-PROJECTION BODY AND THE L_p-CENTROID BODY[J].Acta Mathematica Scientia,2010,30(1):359-368. 被引量：2
9马统一.L_p-混合质心体和对偶L_p-混合质心体[J].数学学报（中文版）,2010,53(2):301-314. 被引量：3
10Wei Dong WANG,Ya Nan LI.Busemann–Petty Problems for General L_p-Intersection Bodies[J].Acta Mathematica Sinica,English Series,2015,31(5):777-786. 被引量：5

引证文献3

1SHI Wei,WANG Weidong.Extremum Values of Asymmetric Lp-Difference Bodies for Quermassintegrals and Dual Quermassintegrals[J].Wuhan University Journal of Natural Sciences,2018,23(4):283-288.
2石伟,王卫东.关于广义L_p-混合投影体与广义L_p-混合质心体的单调不等式（英文）[J].数学杂志,2019,39(3):344-356.
3马丹,施孙平,徐文帅.复L_(p)混合Petty投影不等式[J].上海师范大学学报（自然科学版）,2022,51(3):372-380.

1LENG Gangsong, ZHAO Changjian, HE Binwu & LI XiaoyanDepartment of Mathematics, Shanghai University, Shanghai 200436, China,Department of Mathematics, Binzhou Teachers College, Binzhou 256604, China.Inequalities for polars of mixed projection bodies[J].Science China Mathematics,2004,47(2):175-186. 被引量：9
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3Wei Dong WANG,Gang Song LENG.The Petty Projection Inequality for L_p-Mixed Projection Bodies[J].Acta Mathematica Sinica,English Series,2007,23(8):1485-1494. 被引量：12
4AlanLightman,何俞嵩,赵庚新.爱因斯坦VS牛顿[J].科学（中文版）,2004(11):82-83.

Wuhan University Journal of Natural Sciences

2012年第3期

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