Extension of Hu Ke's inequality and its applications

Abstract

Abstract In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang. Mathematics Subject Classification (2000) Primary 26D15; Secondary 26D10

Keywords

• integral inequality
• Hölder's inequality
• Hu Ke's inequality
• Hao Z-C inequality
• Beckenbach-type inequality
• arithmetic-geometric mean inequality