Abstract:

We considered the problem of parameter identification of the fractal interpolation functions (FIFs) with function vertical scaling factors in the restricted domain, and gave some of sufficient conditions that function vertical scaling factors should be satisfied, so that the corresponding FIFs were restricted to a given range. Furthermore, we gave some numerical examples to illustrate the relationship between the graphs of the FIFs and the variable parameters in the restricted domain.

Key words: fractal interpolation function, iterated function system, function vertical scaling factor, parameter identification