Necessary Conditions for the Convergence of Cardinal Hermite Splines as their Degree Tends to Infinity

DOI10.2307/1998173zbMath0416.41016OpenAlexW4245698101MaRDI QIDQ3205729

Tim N. T. Goodman

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998173

zbMATH Keywords

convergence of cardinal Hermite splines

Mathematics Subject Classification ID

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

Related Items (1)

A Remainder Formula and Limits of Cardinal Spline Interpolants

Cites Work

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• Cardinal lacunary interpolation by g-splines. I: The characteristic polynomials
• Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov
• Zeros of splines and Birkhoff's kernel
• Notes on spline functions. III: On the convergence of the inter polating cardinal splines as their degree tends to infinity
• On Lg-splines
• Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation
• On cardinal perfect splines of least sup-norm on the real axis
• Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity
• An Elementary Proof of Kolmogorov's Theorem

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