Hardy–Copson type inequalities for nabla time scale calculus

Abstract

This paper is devoted to the nabla unification of the discrete and continuous Hardy–Copson type inequalities.Some of the obtained inequalities are nabla counterparts of their delta versions while the others are new even for thediscrete, continuous, and delta cases. Moreover, these dynamic inequalities not only generalize and unify the relatedones in the literature but also improve them in the special cases.