Constrained approximation and Hermite interpolation with smooth quadratic splines: Some negative results

DOI10.1016/0021-9045(76)90034-4zbMath0342.41005OpenAlexW1971678608MaRDI QIDQ1232040

James W. Daniel

Publication date: 1976

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(76)90034-4

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15) Software, source code, etc. for problems pertaining to approximations and expansions (41-04)

Related Items

Periodic even degree spline interpolation on a uniform partition, Fast one-sided approximation with spline functions, A piecewise parabolic \(C^1\) approximation technique for curved boundaries, Quadratic spline interpolation and the sharpness of Lebesgue's inequality, Quadratic spline interpolation with coinciding interpolation and spline grids, Quadratic and cubic spline interpolation, Periodic quadratic spline interpolation

Cites Work

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• Approximation of a class of optimal control problems with order of convergence estimates
• Quadratic interpolatory splines
• On piecewise polynomial interpolation
• On uniform approximation by splines
• An Algorithm for Spline Interpolation
• One-sided approximation and variational inequalities
• Bounding the Error in Spline Interpolation
• Error Bounds of High Order Accuracy for the State Regulator Problem via Piecewise Polynomial Approximations
• The Ritz–Galerkin Method for Abstract Optimal Control Problems
• The Ritz–Galerkin Procedure for Nonlinear Control Problems
• On Polya Frequency Function. III. The Positivity of Translation Determinants With an Application to the Interpolation Problem by Spline Curves
• Quadratic spline interpolation