研究分形插值函数的矩量积分问题.对于一类分形插值函数,给出了它在各阶区间上的(p,q)阶矩量积分的计算公式.此外,考虑含有扰动项的迭代函数系所产生的分形插值函数的矩量,讨论了扰动项对于矩量的影响,给出扰动前后矩量的误差估计式.
The moment integral problem of fractal interpolating functions (FIFs) are studied in this paper. The calculating formulas of (p,q)-order moment integration on various intervals for a class of FIFs are given. Moreover,the iterated function system (IFS) with perturbative terms and the moments of FIF generated by such an IFS are discussed. The error estimates between the moment of FIF generated by linear IFS and the moment of FIF generated by perturbed IFS are obtained.