On Minkowski's inequality and its application

Abstract

Abstract In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes. 2000 Mathematics Subject Classification: 52A30, 52A40, 26D15

Keywords

• Minkowski's inequality
• Hölder's inequality
• Brunn-Minkowski inequality
• dual mixed volume