等周不等式

等周不等式与Bol-Fujiwara定理

The Isoperimetric Inequality and the bol-fujiwara theorem

一些特殊曲面上的等周不等式

The Isoperimetric Inequality on Some Special Surfaces

利用积分几何方法和经典的等周不等式，得到了Bol-Fujiwara定理的一个推广（定理1），以及推广了的Bol-Fujiwara定理的逆定理（定理2）。

We obtain a generalized Bol-Fujiwara theorem ( Theorem 1 ) and the reverse theorem ( Theorem 2 ) of the generalized Bol-Fujiwara theorem by method of integral geometry and the classical isoperimetric inequality .

R~3中紧致凸曲面的等周不等式

On the Isoperimetric Inequality for Compact Convex Surface in R ~ 3

与等周不等式有关的约束极小问题

A constrained minimization problem associated with isoperimetric inequalities

球面与椭球面上区域的等周不等式

Regional Isoperimetric Inequality for Sphere and Ellipsoid

弦幂积分不等式是等周不等式的发展和概括，是积分几何和相关学科研究的重要领域。

The chord-integral inequalities are the development and summary of isoperimetric inequalities and the important contents of integral geometry and related disciplines .

三维空间中的等周不等式桩的压屈稳定性受到桩周土体约束等多种因素的影响。

There are many factors , such as the restriction of the soil around the pile , affecting pressing-yield-stability of the pile .

弦幂积分序列反映了凸体的一些重要几何性质，从中得到了一系列经典积分不等式，诸如等周不等式。

The sequence of chord-integral reflects some significant geometrical properties . We can obtain a series of classical integral inequalities , such as the isoperimetric inequalities .

本文首先使用初等方法导出三角形与四边形的等周不等式，进而用富里埃级数方法解决了一般等周问题。

We deduced equal perimeter inequality of triangle and quadrangle by elementary mathematical methods first and solved general equal perimeter problems by using methods of Fourier series .