On ratio asymptotics for general polynomials.

DOI10.1016/S0021-9045(02)00047-3zbMath1128.41304MaRDI QIDQ1867278

Ying Guang Shi

Publication date: 2 April 2003

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

zbMATH Keywords

ratio asymptoticsdisturbed nodesgeneral polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Cites Work

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• New characterizations of ratio asymptotics for orthogonal polynomials
• Necessary conditions for \(L_ p\) convergence of Lagrange interpolation on an arbitrary system of nodes
• Necessary conditions for mean convergence of Lagrange interpolation on an arbitrary system of nodes
• Orthogonal polynomials
• Distribution of Zeros of Orthogonal Polynomials

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