Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves
Volume 125 / 1997
Studia Mathematica 125 (1997), 83-96
DOI: 10.4064/sm-125-1-83-96
Abstract
We show that in the class of compact, piecewise $C^1$ curves K in $ℝ^n$, the semialgebraic curves are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for the derivatives of (the traces of) polynomials on K.
