Mathematics – Classical Analysis and ODEs
Scientific paper
2011-11-15
Mathematics
Classical Analysis and ODEs
25 pages, 1 figure
Scientific paper
Let G be a bounded region with simply connected closure and having analytic boundary and let mu be a positive measure carried by the closure of G together with finitely many pure points outside G. We provide estimates on the norms of the monic polynomials of minimal norm in the space L^q(mu) for q>0. In case the norms converge to 0, we provide estimates on the rate of convergence, generalizing several previous results. Our most powerful result concerns measures mu that are perturbations of measures that are absolutely continuous with respect to the push-forward of a product measure near the boundary of the unit disk. Our results and methods also yield information about the strong asymptotics of the extremal polynomials and some information concerning Christoffel functions.
No associations
LandOfFree
Asymptotic Properties of Extremal Polynomials Corresponding to Measures Supported on Analytic Regions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Asymptotic Properties of Extremal Polynomials Corresponding to Measures Supported on Analytic Regions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Properties of Extremal Polynomials Corresponding to Measures Supported on Analytic Regions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-708552