On the Algebraic Complexity of Optimal Polynomial Approximation Constants

Filip Filipović, Rémi Géraud-Stewart, David Naccacheand Aleksa Veličković

We investigate the algebraic nature of constants arising from Chebyshev equiripple (minimax) polynomial approximation of $L_p$ norms on $[0,1]$. For the Euclidean case $\sqrt{1+t^2…