Cardinal interpolation and spline functions. VII: The behavior of cardinal spline interpolants as their degree tends to infinity

DOI10.1007/BF02788647zbMath0303.41008OpenAlexW4245234805MaRDI QIDQ1216570

I. J. Schoenberg

Publication date: 1974

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02788647

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

A simple approach to cardinal Lagrange and periodic Lagrange splines, Convergence and Regularization of Sampling Series, Sampling Series, Refinable Sampling Kernels, and Frequency Band Limited Functions, Convergence of classical cardinal series and band limited special functions, The limiting behavior of certain sampling series and cardinal splines, Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity, Interpolation of functions from generalized Paley--Wiener spaces, Summability of Lagrange type interpolation series, Nonuniform sampling and recovery of multidimensional bandlimited functions by Gaussian radial-basis functions, On the convergence of cardinal splines, Recovery of band limited functions via cardinal splines

Cites Work

• Cardinal interpolation and spline functions. II: Interpolation of data of power growth
• Cardinal interpolation and spline functions. VI: Semi-cardinal interpolation and quadrature formulae
• Cardinal interpolation and spline functions. V. The B-splines for cardinal Hermite interpolation
• Cardinal interpolation and spline functions
• Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation
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