Some inequalities related to Ky Fan inequality on time scales

In the framework of the time scales, we present some improved versions of the Ky-Fan inequality for functions, using some weights that take both negative and positive values. In addition, we consider a perspective to use these models in the economic context, since Economics offers many opportunities for time scales applications. Thus, time scales provide not only an unification for discrete and continuous mathematics, but also for the discrete and continuous approaches in economic studies.

New Refinement of Niezgoda’s Inequality with Applications to Ky Fan Inequality

The aim of this article is to give the refinement of Niezgoda’s inequality with its applications to Ky Fan inequality and cyclic mixed symmetric means.