Discontinuous Functions Represented by Exact, Closed, Continuous Parametric Equations

被引：0

作者：

Chicurel-Uziel, Enrique ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Ingn, Av Univ 3000, Mexico City 04510, DF, Mexico

来源：

PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS: RECENT ADVANCES IN APPLIED MATHEMATICS | 2009年

关键词：

discontinuous functions; piecewise continuous; Gibbs phenomenon; spurious oscillations; Fourier series; GIBBS PHENOMENON; RECONSTRUCTION; RESOLUTION; SERIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple procedure is proposed to represent a discontinuous function by continuous parametric equations without a significant change in the nature of the original function. Furthermore, this representation is exact and closed. As it is well known, series expansions of functions with discontinuities are plagued by spurious oscillations due to the Gibbs phenomenon. Since in the proposed parametric representation there are no discontinuities, no Gibbs phenomenon arises in its series expansion.

引用

页码：173 / +

页数：2