Fourier Transforms of B-Splines and Fundamental Splines for Cardinal Hermite Interpolations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1976Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 57, page 291 (issn: 0002-9939,

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Authors: Lee, S. L.;

doi: 10.2307/2041208 , 10.1090/s0002-9939-1976-0420074-8

Fourier Transforms of B-Splines and Fundamental Splines for Cardinal Hermite Interpolations

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Abstract

Using the exponential Hermite Euler splines we compute the Fourier transforms of the B B -splines and fundamental splines for Cardinal Hermite Interpolation, introduced by Schoenberg and Sharma and Lipow and Schoenberg respectively.

Keywords

Spline approximation, Computation of special functions and constants, construction of tables, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Interpolation in approximation theory

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