期刊名称：International Journal of Computational Mathematics
印刷版ISSN：2356-797X
出版年度：2015
卷号：2015
DOI：10.1155/2015/212860
出版社：Hindawi Publishing Corporation
摘要：We report on the inverse problem for the truncated Fourier series representation of in a form with a quadratic degeneracy, revealing the existence of the
Gibbs-Wilbraham phenomenon. A new distribution-theoretic proof is proposed for this
phenomenon. The paper studies moreover the iterative numerical solvability and solution of
this inverse problem near discontinuities of .
