New estimation for the Lebesgue function of Lagrange interpolation

DOI10.1007/BF01897298zbMath0514.41004OpenAlexW2070374876MaRDI QIDQ3660247

Péter Vértesi

Publication date: 1982

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01897298

zbMATH Keywords

Lagrange interpolationLebesgue function

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

On barycentric interpolation. I. On the \(T\)-Lebesgue function and \(T\)-Lebesgue constant ⋮ On the optimal Lebesgue constants for polynomial interpolation ⋮ Restricted Lebesgue function type sums ⋮ Divergence of Lagrange interpolation on a set of second category

Cites Work

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• Problems and results on the theory of interpolation. II
• An extremal problem in the theory of interpolation
• On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes
• On the integral of the lebesgue function of interpolation
• On the Polynomial and Rational Projections in the Complex Plane