A weighted Hardy-type inequality in time scale

Abstract

In this article, we establish some new dynamic inequalities for convex decreasing functions on time scale. A refinement of Hardy type inequality with exponential weight is obtained on time scale. As an application, some higher integrability theorems are derived.MSC Classification: 35A01 , 35A23 , 26D15 , 26E70 , 34N05 , 34N99