Mean convergence of truncated Hermite interpolation on an arbitrary system of nodes

DOI10.1007/BF02907051zbMath0906.41002MaRDI QIDQ1272198

Ying Guang Shi

Publication date: 24 November 1998

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

zbMATH Keywords

Hermite interpolationpolynomial interpolationmean convergence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (3)

Mean convergence of Hermite-Fejér type interpolation on an arbitrary system of nodes ⋮ On Hermite interpolation ⋮ Mean convergence of Lagrange type interpolation on an arbitrary system of nodes

Cites Work

• Solution of Turán's problem on divergence of Lagrange interpolation in \(L^ p\) with \(p>2\)
• On some open problems of approximation theory
• A survey on mean convergence of interpolatory processes
• On the order of magnitude of fundamental polynomials of Hermite interpolation
• Turán type problems on mean convergence. I: Lagrange type interpolations
• Turán type problems on mean convergence. II: Hermite-Fejér type interpolations
• Bounds and inequalities for general orthogonal polynomials on finite intervals
• Bounds and inequalities for arbitrary orthogonal polynomials on finite intervals
• Mean convergence of interpolatory processes on an arbitrary system of nodes
• Orthogonal polynomials
• Convergence of Hermite-Fejér type interpolation of higher order on an arbitrary system of nodes
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