Extensions of a theorem of J. L. Walsh

DOI10.1016/0021-9045(85)90122-4zbMath0557.30031OpenAlexW1998284609MaRDI QIDQ762308

Thomas E. jun. Price

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90122-4

zbMATH Keywords

over-convergence

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (2)

Convergence of certain polynomial interpolants to a function defined on the unit circle ⋮ Matrix transformations and disk of convergence in interpolation processes

Cites Work

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• A note on the sharpness of J. L. Walsh's theorem and its extensions for interpolation in the roots of unity
• On the overconvergence of complex interpolating polynomials
• Hermite-Birkhoff interpolation on roots of unity and Walsh equiconvergence
• Interpolation in the roots of unity: An extension of a theorem of J. L. Walsh
• The numerical approximation of analytic functions in the complex domain
• Equiconvergence of interpolating processes
• On Walsh equiconvergence
• Near-Best Approximation by Averaging Polynomial Interpolants
• Hermite-Birkhoff Interpolation in the nth Roots of Unity
• An extension to rational functions of a theorem of J. L. Walsh on differences of interpolating polynomials

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