3 years ago

# Weighted Remez- and Nikolskii-Type Inequalities on a Quasismooth Curve

We establish sharp $$L_p$$ , $$1\le p<\infty$$ , weighted Remez- and Nikolskii-type inequalities for algebraic polynomials considered on a quasismooth (in the sense of Lavrentiev) curve in the complex plane.