Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity

DOI10.1007/BF02761973zbMath0272.41005OpenAlexW2052045669MaRDI QIDQ2264270

I. J. Schoenberg

Publication date: 1973

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761973

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (22)

Convergence of bivariate cardinal interpolation ⋮ Graph signal sampling and interpolation based on clusters and averages ⋮ Limit theorems in spline approximation ⋮ Gibbs-Wilbraham splines ⋮ Some qualitative properties of bivariate Euler-Frobenius polynomials ⋮ Convergence and Regularization of Sampling Series ⋮ Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory ⋮ Families of multiresolution and wavelet spaces with optimal properties ⋮ Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions ⋮ A Remainder Formula and Limits of Cardinal Spline Interpolants ⋮ A Gibbs phenomenon for spline functions ⋮ Convergence of classical cardinal series and band limited special functions ⋮ On the convergence of cardinal interpolation by parameterized radial basis functions ⋮ Exponential Hermite Euler splines ⋮ Convergence of interpolating cardinal splines: power growth ⋮ On the convergence of cardinal splines ⋮ Necessary Conditions for the Convergence of Cardinal Hermite Splines as their Degree Tends to Infinity ⋮ Variational splines and Paley-Wiener spaces on Combinatorial graphs ⋮ Continuous time domain properties of causal cubic splines ⋮ Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov ⋮ Recovery of band limited functions via cardinal splines ⋮ Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity

Cites Work

• Unnamed Item
• Unnamed Item
• Cardinal interpolation and spline functions. VII: The behavior of cardinal spline interpolants as their degree tends to infinity
• Approximation by periodic spline interpolants on uniform meshes
• On the convergence of interpolating periodic spline functions of high degree

This page was built for publication: Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity