Sharp lower bounds for the Widom factors on the real line

2019/07/29 by Alpan, Gökalp, Zinchenko, Maxim · 2 citations
#33C45 #42C05 #47B36 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 41A17 #Secondary 41A44

paper · doi:10.48550/arxiv.1907.12492

Abstract

We derive lower bounds for the L^p(μ) norms of monic extremal polynomials with respect to compactly supported probability measures μ. We obtain a sharp universal lower bound for all 0

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• Unbounded Widom factors for orthogonal and residual polynomials
• Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane

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