cardinal splines

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1: 24.17 Mathematical Applications

… ►The members of ${𝒮}_n$ are called cardinal spline functions. The functions … ►

Bernoulli Monosplines

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2: Bibliography S

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Cardinal Spline Interpolation. Society for Industrial and Applied Mathematics, Philadelphia, PA.

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Notes:

Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 12

External Links:

MathReview (H. L. Loeb), ZentralBlatt

Referenced by:

§24.17(ii).

Encodings:

BibTeX

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3: 3.3 Interpolation

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§3.3(vi) Other Interpolation Methods

►For Hermite interpolation, trigonometric interpolation, spline interpolation, rational interpolation (by using continued fractions), interpolation based on Chebyshev points, and bivariate interpolation, see Bulirsch and Rutishauser (1968), Davis (1975, pp. 27–31), and Mason and Handscomb (2003, Chapter 6). … ►For interpolation of a bounded function $f$ on $ℝ$ the cardinal function of $f$ is defined by ►

3.3.43 $$C(f,h)(x)=\sum _{k=-\mathrm{\infty }}^{\mathrm{\infty }}f(kh)S(k,h)(x),$$

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Defines:

$C(f,h)$: cardinal function of $f$ (locally)

Symbols:

$f(z)$: function and $S(k,h)(x)$: Sinc function

Permalink:

http://dlmf.nist.gov/3.3.E43

Encodings:

pMML, png, TeX

See also:

Annotations for §3.3(vi), §3.3 and Ch.3

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