Asymptotics for \(L_ p\) extremal polynomials on the unit circle

DOI10.1016/0021-9045(91)90003-SzbMath0751.41009OpenAlexW2093726724MaRDI QIDQ1180590

S. Singh

Publication date: 27 June 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(91)90003-s

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items

Asymptotics of extremal polynomials off the unit circle

Cites Work

• On the asymptotic behavior of polynomials with extremal properties, and of their zeros
• Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
• Sufficient conditions for asymptotics associated with weighted extremal problems on R
• Polynomials orthogonal over a region and Bieberbach polynomials
• A class of orthogonal polynomials
• On the distribution of zeros of polynomials orthogonal on the unit circle
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
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