On Some Important Dynamic Inequalities of Hardy-Hilbert on Timescales

Abstract

In this article, by using some algebraic inequalities, nabla Holder inequalities, and nabla Jensen's inequalities on timescales, we proved some new nabla Hilbert-type dynamic inequalities on timescales. These inequalities extend some known dynamic inequalities on timescales and unify some continuous inequalities and their corresponding discrete analogues. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.