We present some other types of applications of the aforementioned SOC functions, SOC-convexity, and SOC-monotonicity. These include so-called SOC means, SOC weighted means, and a few SOC trace versions of Young, Holder, Minkowski inequalities, and Powers-StØrmer's inequality. We believe that these results will be helpful in convergence analysis of optimizations involved with SOC. Then, we give some possible extensions.
