Approximations by polynomials and rational functions in Bernstein form

[peteroupc]

https://peteroupc.github.io/bernapprox.html

This page describes how to compute a polynomial in Bernstein form that comes close to a function $f(\lambda)$ with a user-defined error tolerance, so that the polynomial's coefficients will lie in the closed unit interval if $f$'s values lie in that interval. The polynomial is often simpler to calculate than the original function $f$ and can often be accurate enough for an application's purposes.

I post this issue to seek comments on the article, including comments pointing out errors or suggesting how the article can be more useful to readers.

For open questions on approximations in Bernstein form, see: https://peteroupc.github.io/bernreq.html