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国家自然科学基金(11371224): 作品数：26被引量：9H指数：2; 导出分析报告; 相关作者：王卫东张丽莉武登辉马统一更多>>; 相关机构：三峡大学河西学院西北师范大学西南大学更多>>; 相关期刊：《Wuhan University Journal of Natural Sciences》《Analysis in Theory and Applications》《数学杂志》《数学学报（中文版）》更多>>; 相关主题：P-MINKOWSKIBODYDUALLP更多>>; 相关领域：理学更多>>

Busemann-Petty Type Problem for the General L_(p)-Centroid Bodies: 《Analysis in Theory and Applications》2023年第1期69-82,共14页Weidong Wang; supported in part by the Natural Science Foundation of China (Grant No.11371224)。; Lutwak showed the Busemann-Petty type problem(also called the Shephard type problem)for the centroid bodies.Grinberg and Zhang gave an affirmation and a negative form of the Busemann-Petty type problem for the L_(p)-c...; 关键词：Lp-centroid body general L_(p)-centroid body Busemann-Petty problem affirmation form negation form

Brunn-Minkowski Inequalities of General L_(p)-Intersection Bodies: 《Wuhan University Journal of Natural Sciences》2021年第1期1-7,共7页LI Chao WANG Weidong; the National Natural Science Foundation of China(11371224);the Innovation Foundation of Graduate Student of China Three Gorges University(2019SSPY146)。; In this paper, we study the extremum inequalities of general L_(p)-intersection bodies. In addition, associating with the L_(q)-radial combination and Lq-harmonic Blaschke combination, we establish the Brunn-Minkowski...; 关键词：general L_(p)-intersection body dual quermassintegral extremum inequality Brunn-Minkowski type inequality

Some Brunn-Minkowski Type Inequalities for the(p,q)-Mixed Volumes: 《Wuhan University Journal of Natural Sciences》2020年第4期286-292,共7页ZHANG Juan WANG Weidong; Supported by the National Natural Science Foundation of China(11371224);Innovation Foundation of Graduate Student of China Three Gorges University(2019SSPY145)。; Lutwak,Yang and Zhang defined the(p,q)-mixed volumes very recently.In this paper,some Brunn-Minkowski type inequalities on the(p,q)-mixed volumes are established based on the general Lp-projection bodies and the gener...; 关键词：general Lp-projection body general Lp-centroid body (p q)-mixed volume Brunn-Minkowski type inequality

Lp径向Blaschke-Minkowski同态的Lp对偶几何表面积: 《数学学报（中文版）》2020年第4期409-416,共8页赵霞王卫东; 国家自然科学基金资助项目(11371224);三峡大学硕士学位论文培优基金(2019SSPY144)。; 2006年,Schuster提出了径向Blaschke-Minkowski同态的概念.随后,汪卫等人将其推广到Lp径向Blaschke-Minkowski同态.本文结合Lp对偶几何表面积,建立了Lp径向Blaschke-Minkowski同态的若干不等式,包括Brunn-Minkowski型不等式和单调不等式...; 关键词：Lp径向Blaschke-Minkowski同态 Lp对偶几何表面积 BRUNN-MINKOWSKI不等式 Busemann-Petty问题

A Type of Shephard Problems for Lp Blaschke-Minkowski Homomorphisms被引量：2: 《Wuhan University Journal of Natural Sciences》2020年第2期93-99,共7页ZHAO Xia WANG Weidong; Supported by the National Natural Science Foundation of China(11371224);Innovation Foundation of Graduate Student of China Three Gorges University(2019SSPY144)。; The Blaschke-Minkowski homomorphisms was defined by Schuster.Recently,Wang extended its concept to Lp version.In this paper,we obtain affirmative and negative forms of the Shephard type problems for Lp geominimal surf...; 关键词：Lp Blaschke-Minkowski homomorphism Shephard problem Lp geominimal surface area

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）: 《数学杂志》2019年第3期344-356,共13页石伟王卫东; Supported by the Natural Science Foundation of China(11371224);Excellent Foundation of Graduate Student of China Three Gorges University(2017YPY077); 本文研究了广义L_p-混合投影体及广义L_p-混合质心体的单调性问题.利用解析不等式,获得了广义L_p-混合投影体与广义L_p-混合质心体的均质积分与对偶均质积分形式的单调不等式,推广了L_p-投影体及L_p-质心体的体积形式的单调性.; 关键词：广义Lp-混合投影体广义Lp-混合质心体单调不等式

Extremum Values of Asymmetric Lp-Difference Bodies for Quermassintegrals and Dual Quermassintegrals: 《Wuhan University Journal of Natural Sciences》2018年第4期283-288,共6页SHI Wei WANG Weidong; Supported by the National Natural Science Foundation of China(11371224);Excellent Foundation of Graduate Student of China Three Gorges University(2017YPY077); Based on Lutwak＇s the notion of Lp-difference bodies, Wang and Ma introduced asymmetric Lp-difference bodies and gave their extremum values for volumes. In this paper, we establish the extremum value inequalities for...; 关键词：asymmetric Lp-difference body extremum value QUERMASSINTEGRAL dual querrnassintegral

A Type of Busemann-Petty Problems for Blaschke-Minkowski Homomorphisms被引量：1: 《Wuhan University Journal of Natural Sciences》2018年第4期289-294,共6页CHEN Bin WANG Weidong; Supported by the National Natural Science Foundation of China(11371224);Innovation Foundation of Graduate Student of China Three Gorges University(2018SSPY136); Schuster introduced the notion of Blaschke-Minkowski homomorphisms and first considered Busemann-Petty type problems. In this paper, we study the Busemann-Petty type problems for the geominimal surface area with respe...; 关键词：Blaschke-Minkowski homomorphism Busemann-Petty problem geominimal surface area

Star Dual of Radial Blaschke-Minkowski Homomorphism: 《Wuhan University Journal of Natural Sciences》2018年第4期295-300,共6页LI Zhaofeng WANG Weidong; Supported by the National Natural Science Foundation of China(11371224); The notion of radial Blaschke-Minkowski homomorphism was introduced by Schuster. In this paper, we study the radial Blaschke and radial Minkowski linear combinations, respectively, and give several inequalities under ...; 关键词：star dual radial Blaschke-Minkowski homomorphism radial Blaschke sum extremum value

多重星体的L_p-对偶混合几何表面积及其相关不等式: 《数学学报（中文版）》2018年第2期273-288,共16页闫丽王卫东; 国家自然科学基金资助项目(11371224); 叶德平等人介绍了任意实数p（p≠-n）的多重凸体的Lp-混合几何表面积.本文给出了关于任意实数p（p≠n）的多重星体的Lp-对偶混合几何表面积的概念,并且建立了一些相关不等式.; 关键词：Lp-混合几何表面积多重凸体 Lp-对偶混合几何表面积多重星体

国家自然科学基金(11371224)