Figure 1

\(f(x)=e^{-2x}\), the classical Bernstein–Chlodowsky operator, the Bernstein–Chlodowsky–Gadjiev operator and the newly defined Bernstein–Chlodowsky–Gadjiev-Type operator versus x with \(c_{n}=n^{1/2}\), \(\alpha _{2}=1 \), \(\alpha _{1}=2 \), \(\alpha _{3}=0 \), \(\beta _{1}=3 \), \(\beta _{2}=4 \) and \(\beta _{3}=1\): Exact function (Red), classical Bernstein–Chlodowsky operator (Green – Diamond), Bernstein–Chlodowsky–Gadjiev operator (Blue – Circle) and newly defined Bernstein–Chlodowsky–Gadjiev operator (Magenta – Star) on an equally spaced evaluation grid