A new representation for the error function for the hermite interpolation and sharper pointwise and uniform error bounds for the derivatives

DOI10.1016/0362-546X(92)90221-YzbMath0773.41007OpenAlexW2056503914MaRDI QIDQ4032214

Patricia J. Y. Wong, Ravi P. Agarwal

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90221-y

zbMATH Keywords

Hermite interpolationerror representation formula

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Numerical differentiation (65D25)

Related Items (3)

Explicit error bounds for the derivatives of spline interpolation in L₂norm ⋮ Polynomial approximation of \(C^M\) functions by means of boundary values and applications: A survey ⋮ Explicit error bounds for the derivatives of piecewise-Hermite interpolation in \(L_ 2\)-norm

Cites Work

• Explicit error estimates for quintic and biquintic spline interpolation
• Lidstone polynomials and boundary value problems
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Inequalities involving \(\| f\|_ p\) and \(\| f^{( n )}\|_ q\) for \(f\) with \(n\) zeros
• On the Green's function of an \(N\)-point boundary value problem
• On Green's Function of An n-Point Boundary Value Problem
• Hermite Interpolation Errors for Derivatives
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