Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity

DOI10.2307/1998217zbMath0368.41004OpenAlexW4250195071MaRDI QIDQ4146048

Martin Marsden, Sherman D. Riemenschneider

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1998217

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items

Cardinal Hermite interpolation using positive definite functions, Limit theorems in spline approximation, Cardinal Hermite interpolation with box splines, A Remainder Formula and Limits of Cardinal Spline Interpolants, Necessary Conditions for the Convergence of Cardinal Hermite Splines as their Degree Tends to Infinity

Cites Work

• Uniform spline interpolation operators in L\(_2\)
• The Lebesgue constants for cardinal spline interpolation
• Exponential Hermite Euler splines
• Cardinal spline interpolation in \(L_2\)
• Convergence of interpolating cardinal splines: power growth
• Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov
• Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity
• Restrictions of Fourier transforms and extension of Fourier sequences
• Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation
• Fourier Transforms of B-Splines and Fundamental Splines for Cardinal Hermite Interpolations
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