Error bounds for spline and L-spline interpolation
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Publication:2554123
DOI10.1016/0021-9045(72)90079-2zbMath0242.41008OpenAlexW2010942918MaRDI QIDQ2554123
Richard S. Varga, Blair K. Swartz
Publication date: 1972
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(72)90079-2
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Cites Work
- On piecewise polynomial interpolation
- Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
- On Lg-splines
- On the convergence of odd-degree spline interpolation
- A note on the operators arising in spline approximation
- On uniform approximation by cubic splines
- L-splines
- Approximation by periodic spline interpolants on uniform meshes
- Convergence of a class of interpolatory splines
- A note on interpolating periodic quintic splines with equally spaced nodes
- On uniform approximation by splines
- A generalization of L-splines
- Application of Besov spaces to spline approximation
- On spline functions determined by singular self-adjoint differential operators
- Discrete variational Green's function
- Bicubic spline interpolation in L-shaped domains
- SPLINE INTERPOLATION AND THE HIGHER DERIVATIVES
- Approximation properties of the spline fit
- 𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors
- Convergence Properties of the Spline Fit
- $L^\infty $-Multivariate Approximation Theory
- $L^2$-Multivariate Approximation Theory
- Error Bounds for Polynomial Spline Interpolation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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