SOC functions and their applications: SOC means, SOC inequalities and Possible Extensions-武汉大学数学与统计学院

报告题目:

SOC functions and their applications: SOC means, SOC inequalities and Possible Extensions

报告人:

Prof. Jein-Shan Chen（National Taiwan Normal University）

报告时间:

报告地点:

老外文楼应用数学系办公室

报告摘要:

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.