摘要
讨论了一类较广泛的三角级数,得到几个方便的 Boaligand维数计算公式.
A kind of more general trigonometric series f(x)=sum from j=1 to ∞ ajcos(λjx-φi)(aj∈R,λj∈R^+,φj∈[0,2π),x∈I:=[0,2π]) was studied, and the convenient fomulae of calculating Bouligand dimensions were obtained: △lim logN(ε,E)/-logε=2+lim logτn/logλn, δ(E)=lim logN(ε,E)/-lonε=2+lim logr_(n+1)/logr_nλ_n-log r_(n+1).
出处
《华南师范大学学报(自然科学版)》
CAS
2000年第1期1-6,共6页
Journal of South China Normal University(Natural Science Edition)
基金
广东省自然科学基金!(990444)