Table 1 Rational IFS parameters for positive fractal interpolants

1(a)

${\xi }_1=0.123$, ${\xi }_2=0.107$, ${\xi }_3=0.179$, ${\xi }_4=0.005$, ${\xi }_5=0.005$, ${\xi }_6=0.124$

${\beta }_i={\gamma }_i=1$, i = 1(1)6, ${\alpha }_i=1$, i = 1,2,3,6, ${\alpha }_4=0.445$, ${\alpha }_5=0.512$

1(b)

${\xi }_1=\mathbf{0.01}$, ${\xi }_2=0.107$, ${\xi }_3=0.179$, ${\xi }_4=0.005$, ${\xi }_5=0.005$, ${\xi }_6=0.124$

${\beta }_i={\gamma }_i=1$, i = 1(1)6, ${\alpha }_i=1$, i = 1,2,3,6, ${\alpha }_4=0.445$, ${\alpha }_5=0.512$

1(c)

${\xi }_1=0.123$, ${\xi }_2=0.107$, ${\xi }_3=\mathbf{0.01}$, ${\xi }_4=0.005$, ${\xi }_5=0.005$, ${\xi }_6=0.124$

${\beta }_i={\gamma }_i=1$, i = 1(1)6, ${\alpha }_i=1$, i = 1,2,3,6, ${\alpha }_4=0.445$, ${\alpha }_5=0.512$

1(d)

${\xi }_1=0.123$, ${\xi }_2=0.107$, ${\xi }_3=0.179$, ${\xi }_5=0.005$, ${\xi }_6=0.124$

${\beta }_i={\gamma }_i=1$, i = 1(1)6, ${\xi }_4=0.005$, ${\alpha }_i=1$, i = 1,2,3, ${\alpha }_4=0.445$, ${\alpha }_5=0.512$, ${\alpha }_6={\mathbf{10}}^{\mathbf{9}}$

1(e)

${\xi }_1=0.123$, ${\xi }_2=0.107$, ${\xi }_3=\mathbf{0.01}$, ${\xi }_4=0.005$, ${\xi }_5=0.005$, ${\xi }_6=0.124$

${\beta }_i={\gamma }_i=1$, i∈{1,2,4,5,6}, ${\gamma }_3=1$, ${\beta }_3={\mathbf{10}}^{\mathbf{3}}$, ${\alpha }_i=1$, i = 1,2,3,6, ${\alpha }_4=0.445$, ${\alpha }_5=0.512$

1(f)

${\xi }_1={\xi }_2={\xi }_3={\xi }_4={\xi }_5={\xi }_6={\xi }_7=\mathbf{0}$

${\beta }_i={\gamma }_i=1$, i = 1(1)6, ${\alpha }_i=1$, i = 1,2,3,6, ${\alpha }_4=0.445$, ${\alpha }_5=0.512$