Highly Influenced

# Behavior of Best L , Polynomial Approximants on the Unit Interval and on the Unit Circle

@inproceedings{Lr2003BehaviorOB, title={Behavior of Best L , Polynomial Approximants on the Unit Interval and on the Unit Circle}, author={X. Lr}, year={2003} }

- Published 2003

For function f defined on the interval I:= [-1, 11; let p2J.f) be its best approximant out of-ql under the L2 norm where dz is a finite Bore1 measure on I. We compare the L, norm of the error function f-pzz(f) on subintervals vs that on the whole interval I. Then we consider the distribution of the zeros of the best L, approximants. Corresponding results are also obtained for approximation on the unit circle {ZEC : 171 = 1).