Abstract:
In this paper, we will prove some new dynamic inequalities of Hardy-type on time
scales. Some of the integral and difference inequalities that will be derived from our
results in the continuous and discrete cases are original. The main results will be
proved by using the dynamic Hölder inequality, integration by parts formula on time
scales, and Keller’s chain rule on time scales. We will apply the main results to the
continuous calculus, discrete calculus, and q-calculus as special cases.
