机构地区: 华南师范大学南海校区学院数学系
出 处: 《华南师范大学学报(自然科学版)》 2005年第1期21-25,共5页
摘 要: 确定一类形如f(x,y)=∑j≥1ajcos(λj|x+y|)函数的上、下Bouligand维数.并给出上、下Bouligand维数不等的图像. The upper Bouligand dimension and the lower Bouligand dimension of a class of functions with the form f(x,y)=∑j≥1 a_j cos(λ_j|x+y|) are defined, and the image is given when its upper Bouligand dimention and lower Bouligand dimention are not the same.