Study of Some Inequalities and Applications on 2-norms and Derived Norms

Abstract

Most of the results on the space of 2-norms generalised to n-normed space. Here, we investigate some results on the nature of sequences of 2-norms and derived norms. But unable to generalise it for n-norms. Therefore we are taking particular case of n-norms. In this paper, we investigated Minkowski type inequalities for 2-norms, and applied these inequalities in the analysis of convergence of sequences of 2-norms, derived norms with respect to sequence of vectors.