Bonnesen-style Wulff isoperimetric inequality

Abstract

Abstract 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.

Keywords

• Wulff flow
• Wulff isoperimetric inequality
• Bonnesen-style Wulff isoperimetric inequality
• reverse Bonnesen-style Wulff isoperimetric inequality