Zhang Zengle, Zhou Jiazu
School of Mathematics and Statistics, Southwest University, Chongqing, 400715 People's Republic of China.
Southeast Guizhou Vocational College of Technology for Nationalities, Kaili, Guizhou 556000 China.
J Inequal Appl. 2017;2017(1):42. doi: 10.1186/s13660-017-1305-3. Epub 2017 Feb 14.
The Wulff isoperimetric inequality is a natural extension of the classical isoperimetric inequality (Green and Osher in Asian J. Math. 3:659-676 1999). In this paper, we establish some Bonnesen-style Wulff isoperimetric inequalities and reverse Bonnesen-style Wulff isoperimetric inequalities. Those inequalities obtained are extensions of known Bonnesen-style inequalities and reverse Bonnesen-style inequalities.
武尔夫等周不等式是经典等周不等式的自然推广（格林和奥舍尔，《亚洲数学杂志》3：659 - 676，1999年）。在本文中，我们建立了一些博内森型武尔夫等周不等式和反向博内森型武尔夫等周不等式。所得到的这些不等式是已知博内森型不等式和反向博内森型不等式的推广。
