论文信息 - Approximation of continuous and discontinuous functions by generalized sampling series - 字舞流文

Approximation of continuous and discontinuous functions by generalized sampling series

Condition necessaire et suffisante de convergence d'une serie d'echantillonnage generalisee. Etude du comportement de la serie a une discontinuite de saut

Paul L. Butzer | R. L. Stens | P. Butzer | S. Ries | S Ries

[1] M. Nikolskii,et al. Approximation of Functions of Several Variables and Embedding Theorems , 1971 .

[2] Optimal kernels for a general sampling theorem , 1987 .

[3] R. V. Churchill,et al. Lectures on Fourier Integrals , 1959 .

[4] Paul L. Butzer,et al. Fourier analysis and approximation , 1971 .

[5] Wolfgang Dahmen,et al. Translates of multivarlate splines , 1983 .

[6] G. Strang,et al. Fourier Analysis of the Finite Element Method in Ritz-Galerkin Theory , 1969 .

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

[8] R. L. Stens,et al. Error Estimates for Sampling Sums Based on Convolution Integrals , 1980, Inf. Control..

[9] J. Aubin. Approximation of Elliptic Boundary-Value Problems , 1980 .

[10] G. Freud. Über die Konvergenz des Hermite-Fejérschen Interpolationsverfahrens , 1954 .

[11] Maria Theis,et al. Über eine Interplationsformel von de la Vallée Poussin , 1919 .

[12] Paul L. Butzer,et al. A modification of the Whittaker-Kotelnikov-Shannon sampling series , 1985 .