On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes

DOI10.1007/BF01897094zbMath0463.41002OpenAlexW2033321740MaRDI QIDQ3913828

Péter Vértesi, Paul Erdős

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01897094

zbMATH Keywords

Lagrange interpolatory polynomial

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

Simultaneous approximation by Hermite interpolation of higher order, Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval, Interpolation in a derivative strip, Convergence of Lagrange interpolation on the non uniform nodes on the unit circle, Mean convergence of interpolatory processes on an arbitrary system of nodes, Unnamed Item, Adjustment of Functions and Lagrange Interpolation Based on the Nodes Close to the Legendre Nodes, The divergence of Lagrange interpolation for \(|x|^\alpha\) at equidistant nodes, On sums of Lebesgue function type, A survey on mean convergence of interpolatory processes, Divergence of Lagrange interpolation on a set of second category, New estimation for the Lebesgue function of Lagrange interpolation, On the almost everywhere divergence of Lagrange interpolation (complex and trigonometric cases), Expansions in Legendre polynomials and Lagrange interpolation, Universal interpolation

Cites Work

• Über Divergenzerscheinungen der Lagrangeschen Interpolationspolynome stetiger Funktionen
• On polynomials with only real roots
• On interpolation. III: Interpolatory theory of polynomials
• Problems and results on the theory of interpolation. I
• On the integral of the lebesgue function of interpolation
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