Mean convergence of interpolatory processes on an arbitrary system of nodes

DOI10.1007/BF00113911zbMath0861.41004MaRDI QIDQ1912676

Ying Guang Shi

Publication date: 4 June 1996

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Lagrange interpolationHermite-Fejér interpolationmean convergence

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

On weighted Lebesgue function type sums ⋮ On weighted mean convergence of Lagrange interpolation for general arrays ⋮ Mean convergence of Hermite-Fejér type interpolation on an arbitrary system of nodes ⋮ Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes ⋮ On boundedness of Lagrange interpolation in \(L_p\), \(p<1\) ⋮ Necessary conditions for mean convergence of Lagrange interpolation on an arbitrary system of nodes ⋮ On mean convergence of Lagrange interpolation for general arrays

Cites Work

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• On some open problems of approximation theory
• A survey on mean convergence of interpolatory processes
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• Bounds and inequalities for arbitrary orthogonal polynomials on finite intervals
• On interpolation. I. Quadrature- and mean-convergence in the Lagrange- interpolation
• On interpolation. III: Interpolatory theory of polynomials
• On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes