论文信息 - A Gibbs phenomenon for spline functions - 字舞流文

A Gibbs phenomenon for spline functions

Abstract An analogue of the Gibbs phenomenon is shown to hold for approximation by periodic spline functions on uniform subdivisions.

F. B. Richards | F. Richards

[1] Michael Golomb,et al. APPROXIMATION BY PERIODIC SPLINE INTERPOLANTS ON UNIFORM MESHES. , 1968 .

[2] I. J. Schoenberg,et al. Cardinal interpolation and spline functions , 1969 .

[3] F. Richards. Uniform spline interpolation operators in $L_{2}$ , 1974 .

[4] I. J. Schoenberg,et al. Notes on spline functions I. The limits of the interpolating periodic spline functions as their degree tends to infinity , 1972 .

[5] I. J. Schoenberg. Notes on spline functions III: On the convergence of the interpolating cardinal splines as their degree tends to infinity , 1973 .

[6] I. J. Schoenberg. Cardinal Spline Interpolation , 1987 .

[7] J. Gibbs. Fourier's Series , 1898, Nature.