Scale divergence and differentiability

被引:20
作者
Ben Adda, F
Cresson, J
机构
[1] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France
[2] Univ Franche Comte, Equipe Math Besancon, CNRS, UMR 6623, F-25030 Besancon, France
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 04期
关键词
D O I
10.1016/S0764-4442(00)00146-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a continuous function, we establish a link between scale divergence of its curve-length and its regularity. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:261 / 264
页数:4
相关论文
共 6 条
[1]  
BENADDA F, 1999, UNPUB DERIVEE FRACTI
[2]  
Kolwankar KM, 1997, P FRACT ENG
[3]  
LEMENAUTE A, 1990, GEOMETRIES FRACTALES
[4]  
Nottale L, 1997, ASTRON ASTROPHYS, V327, P867
[5]  
Oldham K B, 1974, FRACTIONAL CALCULUS
[6]  
Tricot C., 1999, Courbes et Dimension Fractale