General Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{p}$\end{document}-dual Blaschke bodies and the applications

被引：0
作者：
Jianye Wang
Weidong Wang
机构：
[1] China Three Gorges University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2015卷 / 1期
关键词：
general ; -dual Blaschke body; extremal value; -Busemann-Petty problem; 52A20; 52A40;
D O I：
10.1186/s13660-015-0756-7
中图分类号：
学科分类号：
摘要：
Lutwak defined the dual Blaschke combination of star bodies. In this paper, based on the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{p}$\end{document}-dual Blaschke combination of star bodies, we define the general Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{p}$\end{document}-dual Blaschke bodies and obtain the extremal values of their volume and Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{p}$\end{document}-dual affine surface area. Further, as the applications, we study two negative forms of the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$L_{p}$\end{document}-Busemann-Petty problems.
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