New property of a generalized Holder's inequality and its applications

作者：Tian, Jingfeng^*

来源：Information Sciences, 2014, 288: 45-54.

DOI：10.1016/j.ins.2014.07.053

• Holder's inequality
• Opial-Beesack inequality
• Singh's inequality
• Shannon's inequality
• Information entropy

In this paper, we present a new property of a generalized Holder's inequality, and then we obtain a new refinement of the generalized Holder's inequality. As applications, we give a generalization and refinement of the Opial-Beesack inequality by using the obtained result. Moreover, as an application in information theory, we give a refinement of Singh's inequality which is a generalized Shannon's inequality.

• 出版日期2014-12-20
• 单位华北电力大学; 华北电力大学（保定）