论文标题
高阶Wirewinger型不平等和等值赤字的急剧界限
Higher order Wirtinger-type inequalities and sharp bounds for the isoperimetric deficit
论文作者
论文摘要
使用傅立叶分析，我们得出了任意高阶的Wirtinger型不平等。作为应用，我们证明了欧几里得平面上封闭曲线的各种尖锐的几何不平等。特别是，我们获得了同一缺陷的尖锐下限和上限。
Using Fourier analysis, we derive Wirtinger-type inequalities of arbitrary high order. As applications, we prove various sharp geometric inequalities for closed curves on the Euclidean plane. In particular, we obtain both sharp lower and upper bounds for the isoperimetric deficit.
