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cardinal spline functions


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1: 24.17 Mathematical Applications
The members of 𝒮 n are called cardinal spline functions. The functions
Bernoulli Monosplines
2: 3.3 Interpolation
§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 the cardinal function of f is defined by …is called the Sinc function. …
3: Bibliography S
  • I. J. Schoenberg (1973) Cardinal Spline Interpolation. Society for Industrial and Applied Mathematics, Philadelphia, PA.
  • L. L. Schumaker (1981) Spline Functions: Basic Theory. John Wiley & Sons Inc., New York.
  • J. Segura and A. Gil (1999) Evaluation of associated Legendre functions off the cut and parabolic cylinder functions. Electron. Trans. Numer. Anal. 9, pp. 137–146.
  • C. L. Siegel (1973) Topics in Complex Function Theory. Vol. III: Abelian Functions and Modular Functions of Several Variables. Interscience Tracts in Pure and Applied Mathematics, No. 25, Wiley-Interscience, [John Wiley & Sons, Inc], New York-London-Sydney.
  • I. A. Stegun and R. Zucker (1981) Automatic computing methods for special functions. IV. Complex error function, Fresnel integrals, and other related functions. J. Res. Nat. Bur. Standards 86 (6), pp. 661–686.