云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(10671117)

国家自然科学基金(10671117): 作品数：47被引量：72H指数：5; 导出分析报告; 相关作者：冷岗松王卫东吕松军袁俊马统一更多>>; 相关机构：上海大学三峡大学河西学院重庆师范大学更多>>; 相关期刊：《系统科学与数学》《Science China Mathematics》《纯粹数学与应用数学》《数学学报（中文版）》更多>>; 相关主题：P-INEQUALITY凸体不等式BODY更多>>; 相关领域：理学自然科学总论自动化与计算机技术生物学更多>>

On Reverses of the Blaschke-Santalo Inequality for Convex Bodies被引量：2: 《Chinese Quarterly Journal of Mathematics》2013年第4期605-611,共7页WANG Wei-dong ZHOU Yan-ping; Foundation item： Supported by the National Natural Science Foundation of China（10671117）; Supported by the Innovation Foundation of Graduate Student of China Three Gorges University（2012CX077）; Reisner proved a reverse of the Blaschke-Santal5 inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal5 inequality for centered convex bodies. In this paper, two reverses of t...; 关键词：convex body Blaschke-Santal5 inequality REVERSE Petty＇s conjecture

L_p-对偶几何表面积: 《武汉大学学报（理学版）》2013年第6期515-518,共4页万晓艳王卫东; 国家自然科学基金(10671117);三峡大学研究生培优基金(2011PY049)资助项目; Lutwak结合Lp-混合体积给出了Lp-几何表面积的概念,本文结合Lp-对偶混合体积,给出了Lp-对偶几何表面积的概念,并且证明了相关不等式.; 关键词：Lp-几何表面积 Lp-对偶混合体积 Lp-对偶几何表面积

Some Inequalities for the L_p-Mixed Quermassintegrals: 《Wuhan University Journal of Natural Sciences》2013年第3期233-236,共4页WEI Bo WANG Weidong; Supported by the National Natural Science Foundation of China(10671117);Science Foundation of China Three Gorges University; In this paper,a cyclic inequality and a monotonic inequality of p L-mixed quermassintegrals are established.Meanwhile,we obtain an inequality for p L-mixed quermassintegrals of convex bodies and its polar.; 关键词：convex body p L-mixed quermassintegrals cyclic inequality MONOTONICITY

On Isolations for the Brunn-Minkowski Inequality of Quermassintegrals and Dual Quermassintegrals被引量：2: 《Chinese Quarterly Journal of Mathematics》2012年第4期582-589,共8页王卫东齐晨; Supported by the Natural Science Foundation of China(10671117);Supported by the Science Foundation of China Three Gorges University; Lutwak proved the Brunn-Minkowski inequality for the quermassintegrals of Fiery Lρ-combination. Wang and Leng gave the Brunn-Minkowski inequality for the dual quermassintegrals of Lρ-harmonic radial combination. In ...; 关键词：Fiery L_p-combination L_p-harmonic radial combination Brunn-Minkowski inequality quermassintegrals dual quermassintegrals

Inequalities for the Radial p-th Mean Bodies: 《Wuhan University Journal of Natural Sciences》2012年第4期281-284,共4页ZHOU Yanping WANG Weidong; Supported by the National Natural Science Foundation of China (10671117);the Science Foundation of China Three Gorges University; In this paper, we establish an inequality for the volumes of K and its radial p-th mean body R_pK by L_p-dual mixed volume. Further, the Shephard-type problem and a monotonitic inequality of R_pK are shown when p〉0 .; 关键词：radial p-th mean body Shephard-type problem monotony

Isotropic dual p-surface area measure: 《Journal of Shanghai University(English Edition)》2010年第6期437-441,共5页俞武扬; Project supported by the National Natural Science Foundation of China (Grant No.10671117); It is shown that a convex body has minimal dual p-surface area among its affine transformations of the same volume if and only if its dual p-surface area measure is isotropic. A double-sided estimate for the （n-1）-d...; 关键词：isotropic measure dual p-surface area L p-centroid bodies dual p-isopermetric inequality

迷向面积测度与凸体的投影: 《上海大学学报（自然科学版）》2010年第4期394-396,共3页司林; 国家自然科学基金资助项目(10671117);中央高校基本科研业务费专项资金资助项目(YX2010-29); 凸体的迷向面积测度与其投影的极值问题密切相关.首先讨论两个凸体具有迷向面积测度时,其Blaschke和的投影问题;然后就凸体的面积测度迷向时,讨论Schneider投影问题,并得到它与极小表面积的一个关系.; 关键词：凸体迷向面积测度 Blaschke和 Schneider投影问题

On Reverses of the L_p-Busemann-Petty Centroid Inequality and Its Applications被引量：3: 《Wuhan University Journal of Natural Sciences》2010年第4期292-296,共5页WANG 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; 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; 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...; 关键词：convex body reverse form L p-Busemann-Petty centroid inequality L p-centroid-affine inequality isotropic constant

Inequalities for pedal simplices: 《Journal of Shanghai University(English Edition)》2010年第3期157-162,共6页马统一张海娟; Project supported by the National Natural Science Foundation of China (Grant No.10671117);the Foundation of the Education Department of Gansu Province (Grant No.0709-03); In this paper,we present inequalities for volumes of subsimplices of a simplex and its pedal simplex and generalize them to m ＋ 1 simplices and their pedal simplices.; 关键词：Euclidean space SIMPLEX pedal simplex volume FACET inequality open question

p-完美凸集和绝对p-完美凸集被引量：2: 《上海大学学报（自然科学版）》2010年第3期262-267,共6页张端刘旭飞冷岗松; 国家自然科学基金资助项目(10671117); 给出p-完美凸集、绝对p-完美凸集的定义,讨论了Banach空间中p-凸集、p-完美凸集、绝对p-完美凸集三者之间的关系,同时给出了p-完美凸集和绝对p-完美凸集的若干性质(0; 关键词：p-凸集 p-完美凸集绝对p-完美凸集 BANACH空间

国家自然科学基金(10671117)