Explicit error bounds for the derivatives of piecewise-Lidstone interpolation
type: Item
instance of: scholarly article
title: Explicit error bounds for the derivatives of piecewise-Lidstone interpolation
zbMATH Open document ID: 0827.41002
DOI: 10.1016/0377-0427(93)E0262-K
author: Ravi P. Agarwal
author: Patricia J. Y. Wong
published in: Journal of Computational and Applied Mathematics
publication date: 1995-07-24T00:00:00Z
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 777854
zbMATH Keywords: error bounds
zbMATH Keywords: piecewise-Lidstone interpolation
MaRDI profile type: Publication
cites work: Q4026424
cites work: Boundary value problems occurring in plate deflection theory
cites work: Lidstone polynomials and boundary value problems
cites work: Quasilinearization and approximate quasilinearization for lidstone boundary value problems
cites work: Explicit error estimates for quintic and biquintic spline interpolation. II
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: Q5336417
cites work: Hermite Interpolation Errors for Derivatives
cites work: Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
cites work: A note on functions of exponential type
cites work: Representation of functions by Lidstone series
cites work: Finite-difference methods for twelfth-order boundary-value problems
cites work: Q3848301
cites work: Existenzaussagen und Fehlerabschätzungen bei gewissen nichtlinearen Randwertaufgaben mit gewöhnlichen Differentialgleichungen
cites work: On certain two-point expansions of integral functions of exponential type
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: Best error bounds for derivatives in two point Birkhoff interpolation problems
cites work: On Lidstone's Series and Two-Point Expansions of Analytic Functions
cites work: Q5759103
cites work: Functions Whose Even Derivatives Have a Prescribed Sign
cites work: Completely Convex Functions and Lidstone Series
cites work: Explicit error estimates for quintic and biquintic spline interpolation
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description: scientific article; zbMATH DE number 777854