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

Autor:	Gao Hangshan, Li Hong-da, Ye Zheng-lin
Rok vydání:	2002
Předmět:	Mathematics::Dynamical Systems Partial differential equation Applied Mathematics Mechanical Engineering Mathematical analysis Hölder condition Derivative Iterated function system Fractal Mechanics of Materials Differentiable function Semi-differentiability Interpolation Mathematics
Zdroj:	Applied Mathematics and Mechanics. 23:471-478
ISSN:	1573-2754 0253-4827
Popis:	The sufficient conditions of Holder 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bc112893c1a5a27a5ef6b2692070b437 https://doi.org/10.1007/bf02436216 Zobrazit plný text záznamu Full text from SpringerLink