The approximation order of polysplines
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Publication:4433084
DOI10.1090/S0002-9939-03-07069-2zbMath1039.41004OpenAlexW1712832522MaRDI QIDQ4433084
Hermann Render, Ognyan Kounchev
Publication date: 29 October 2003
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07069-2
Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Spline approximation (41A15)
Related Items (10)
Convergence of polyharmonic splines on semi-regular grids \(\mathbb Z \times \mathbb Z^n\) for \(a\rightarrow 0\) ⋮ Polyharmonic splines on grids $\mathbb{Z}\times a\mathbb{Z}^{n}$ and their limits ⋮ Error estimates for interpolation with piecewise exponential splines of order two and four ⋮ On real-analytic recurrence relations for cardinal exponential B-splines ⋮ A New Class of Interpolatory L-Splines with Adjoint End Conditions ⋮ On a class of \(L\)-splines of order 4: fast algorithms for interpolation and smoothing ⋮ Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters ⋮ Bernstein operators for exponential polynomials ⋮ Cardinal interpolation with polysplines on annuli ⋮ Fast algorithms for interpolation with L-splines for differential operators \(L\) of order \(4\) with constant coefficients
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