THE GIBBS PHENOMENON FOR FOURIER INTERPOLATION

[摘要] The Fourier interpolation polynomials for periodic functions with an isolated jump discontinuity exhibit for growing order a Gibbs phenomenon. The over- and undershots differ, however, from the ones appearing for the partial sums of the Fourier series and depend on the coincidence of the jump with interpolation nodes. (C) 1994 Academic Press, Inc.

[发布日期] 1994-07-01