On the continuity and differentiability of a kind of fractal interpolation function.

Autor: Hong-da Li, Zheng-lin Ye, Hang-shan Gao
Předmět:
Zdroj: Applied Mathematics & Mechanics; Apr2002, Vol. 23 Issue 4, p471-478, 8p
Abstrakt: The sufficient conditions of Hölder continuity of two kinds of fractal interpolation functions defined by IFS (Iterated Function System) were obtained. The sufficient and necessary condition for its differentiability was proved. Its derivative was a fractal interpolation function generated by the associated IFS, if it is differentiable. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index