New property of a generalized Hlders inequality and its applications
In this paper, we present a new property of a generalized Hlders inequality, and then we obtain a new refinement of the generalized Hlders inequality. As applications, we give a generalization and refinement of the OpialBeesack inequality by using the obtained result. Moreover, as an application in information theory, we give a refinement of Singhs inequality which is a generalized Shannons inequality.
primary 26d15 secondary 26d10