摘要
结合差体度量与L_p-Minkowski组合的定义,引入了凸体的p-差体度量,并通过p-差体度量与p-Hausdorff度量的等价性与一致不等价性的研究,证明了赋予p-差体度量的凸体空间是完备的.
Combining with the difference body metric and the Lp-Minkowski com- bination, the p-difference body metric of convex bodies is introduced. By researching the equivalence and the uniformly non-equivalence between the p-difference body metric and the p-Hausdorff metric, it is proved that the convex bodies space endowed with the p-difference metric is complete.
出处
《应用数学与计算数学学报》
2016年第3期369-375,共7页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(11271244)
