摘要
获得了由迭代函数系统 (IFS)定义的两类分形插值函数具有H lder连续性的充分条件 ,给出了这两类分形插值函数连续可微的充要条件 。
The sufficient conditions of H*ilder continuity of two kinds of fractal interpolation functions defined by IFS 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.
出处
《应用数学和力学》
CSCD
北大核心
2002年第4期422-428,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 (10 0 710 6 0 )