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Theory and Modern Applications

Table 4 Uniform errors between Φ and rational fractal interpolants, and their derivatives

From: Rational iterated function system for positive/monotonic shape preservation

Monotonic RCFIF

Uniform distance with monotonic RCFIF in Figure 3(a)

Derivative of monotonic RCFIF

Uniform distance with derivative in Figure 3(a)

Figure 3(b)

0.7871

Figure 3(b)

18.736

Figure 3(c)

2.3678

Figure 3(c)

27.0239

Figure 3(d)

2.3783

Figure 3(d)

44.6254

Figure 3(e)

0.8223

Figure 3(e)

3.6775

Figure 3(f)

2.0038

Figure 3(f)

18.6884

Figure 3(g)

4.6438

Figure 3(g)

29.531

Figure 3(h)

1.5456

Figure 3(h)

23.4984