Weighted \(L^ p\) convergence of Hermite interpolation of higher order

DOI10.1007/BF00050905zbMath0777.41003OpenAlexW2089674277MaRDI QIDQ1206295

Péter Vértesi, Yuan Xu

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1007/bf00050905

zbMATH Keywords

Jacobi polynomialsHermite interpolation operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (7)

Simultaneous approximation by Hermite interpolation of higher order ⋮ Weighted \(L^ p\) approximation by modified Hermite interpolation of higher order ⋮ The Hermite interpolation ⋮ Mean convergence of Hermite interpolation revisited ⋮ \(L^p\)-convergence of Hermite and Hermite-Fejér interpolation ⋮ Hermite and Hermite-Fejér interpolations of higher order. II: Mean convergence ⋮ Convergence of Hermite and Hermite-Fejér interpolation of higher order for Freud weights

Cites Work

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• Hermite-Fejér interpolations of higher order. I
• Mean convergence of Hermite-Fejér interpolation
• Bernstein's inequality in \(L^p\) for \(O<p<1\)
• The behavior of the derivatives of the algebraic polynomials of best approximation
• Hermite and Hermite-Fejér interpolations of higher order. II: Mean convergence
• On higher order Hermite-Fejér interpolation in weighted \(L_ p\)- metric
• Mean convergence of Hermite interpolation
• Mean Convergence of Lagrange Interpolation. III

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