Counterexamples in parameter identification problem of the fractal interpolation functions Original Research Article

Fractal interpolation functions provide a new method to model experimental data. Dalla and Drakopoulos got some conditions that a vertical scaling factor must obey to model effectively an arbitrary function (J. Approx. Theory 101 (1999) 289). In this paper, we present certain counterexamples to show that the converse does not hold.