Turán type problems on mean convergence. I: Lagrange type interpolations

DOI10.1007/BF01874308zbMath0817.41002MaRDI QIDQ1333065

Péter Vértesi

Publication date: 6 August 1995

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

zbMATH Keywords

Hermite interpolationconvergence of interpolation polynomials

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (2)

Turán type problems on mean convergence. II: Hermite-Fejér type interpolations ⋮ Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes

Cites Work

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• Hermite-Fejér interpolations of higher order. I
• Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\)
• Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
• On some open problems of approximation theory
• On the order of magnitude of fundamental polynomials of Hermite interpolation
• Necessary conditions for mean convergence of Lagrange interpolation on an arbitrary system of nodes
• On interpolation. I. Quadrature- and mean-convergence in the Lagrange- interpolation
• Orthogonal polynomials

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