2 problems

Conjecture on the standard parametrization. Thanks to the averaging step, the standard parametrization is $C^1$.

Let $\bfm{c}$ be a circular arc and let $\bfm{p}_n$ be a $G^k$ geometric approximant of degree $n$. Choose a polynomial $p_{2n,k}^*$ minimizing … where $q_{n,k}$ has degree…