Sharp error bounds for the derivatives of Lidstone-spline interpolation
type: Item
instance of: scholarly article
title: Sharp error bounds for the derivatives of Lidstone-spline interpolation
zbMATH Open document ID: 0821.41011
DOI: 10.1016/0898-1221(94)00176-6
author: Ravi P. Agarwal
author: Patricia J. Y. Wong
publication date: 1994-12-11T00:00:00Z
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 701651
zbMATH Keywords: error bounds
zbMATH Keywords: cubic
zbMATH Keywords: quintic
zbMATH Keywords: Lidstone-spline interpolates
zbMATH Keywords: bicubic
zbMATH Keywords: biquintic
zbMATH Keywords: boundary value problems
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00176-6
OpenAlex ID: W2049429337
cites work: A note on functions of exponential type
cites work: Representation of functions by Lidstone series
cites work: On certain two-point expansions of integral functions of exponential type
cites work: Q5759103
cites work: Functions Whose Even Derivatives Have a Prescribed Sign
cites work: Completely Convex Functions and Lidstone Series
cites work: Lidstone polynomials and boundary value problems
cites work: Q4323301
cites work: Explicit error bounds for the derivatives of piecewise-Lidstone interpolation
cites work: Q3848301
cites work: Best error bounds for derivatives in two point Birkhoff interpolation problems
cites work: Boundary value problems occurring in plate deflection theory
cites work: Quasilinearization and approximate quasilinearization for lidstone boundary value problems
cites work: Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods
cites work: Localised instability in a bénard layer
cites work: Finite-difference methods for twelfth-order boundary-value problems
cites work: Existenzaussagen und Fehlerabschätzungen bei gewissen nichtlinearen Randwertaufgaben mit gewöhnlichen Differentialgleichungen
cites work: Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems
cites work: Quintic spline solutions of boundary value problems
cites work: Smooth spline solutions for boundary value problems in plate deflection theory
cites work: Q4026424
cites work: Explicit error estimates for quintic and biquintic spline interpolation
cites work: Q3737571
cites work: A sixth order tridiagonal finite difference method for non-linear two-point boundary value problems
cites work: Quintic spline solutions of fredholm integral equations of the second kind
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 701651