Monotonicity Preserving Rational Quadratic Fractal Interpolation Functions

Figure 3

Rational quadratic FIFs for sine function.

(a) 𝛼_𝑖=0.2,𝑖=1,2,3,4

(b) 𝛼_𝑖=0.1,𝑖=1,2,3,4

(c) 𝛼₁=𝛼₂=−𝛼₃=−𝛼₄=0.14

(d) 𝛼₁=𝛼₂=0.2,𝛼₃=𝛼₄=−0.2

(e) 𝛼₁=𝛼₃=−0.2,𝛼₂=𝛼₄=0.2

(f) 𝛼₁=𝛼₂=𝛼₃=𝛼₄=0