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Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\)

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Publication:1056846
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DOI10.1016/0021-9045(85)90126-1zbMath0562.41003OpenAlexW1996508809MaRDI QIDQ1056846

Paul G. Nevai

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)90126-1


zbMATH Keywords

Lagrange interpolationweight functionsinterpolation polynomials


Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)


Related Items

Turán type problems on mean convergence. I: Lagrange type interpolations ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Christoffel functions and mean convergence for Lagrange interpolation for exponential weights ⋮ Notes on Steklov's conjecture in \(L^ p\) and on divergence of Lagrange interpolation in \(L^ p\) ⋮ Mean convergence of interpolatory processes on an arbitrary system of nodes ⋮ A survey on mean convergence of interpolatory processes ⋮ Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes



Cites Work

  • Unnamed Item
  • On some open problems of approximation theory
  • Orthogonal polynomials
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