Rational iterated function system for positive/monotonic shape preservation

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Uniform errors between Φ and rational fractal interpolants, and their derivatives

Rational cubic FIF	Uniform distance with Figure 1(a)	Derivative of rational cubic FIF	Uniform distance with Figure 2(a)
Figure 1(b)	0.0401	Figure 2(b)	0.5042
Figure 1(c)	0.1901	Figure 2(c)	1.7129
Figure 1(d)	0.1646	Figure 2(d)	1.8654
Figure 1(e)	0.0379	Figure 2(e)	1.0421
Figure 1(f)	0.3154	Figure 2(f)	2.9245