Title

Gibbs phenomenon in tight framelet expansions

Source of Publication

Communications in Nonlinear Science and Numerical Simulation

Abstract

© 2017 Elsevier B.V. In this paper, we explore several ways to investigate the Gibbs phenomenon in tight framelet representations. We present results concerning the Gibbs phenomenon by expanding functions using the quasi-affine system. This system is generated by the Haar tight framelets. More precisely, we investigate the existence of Gibbs phenomenon in the truncated expansion of a given function which is expanded by some tight framelet representation. The tight frame method is essentially a generalized wavelet based method. It provides various construction methods to expand functions in L2(R).

Document Type

Article

First Page

84

Last Page

92

Publication Date

2-1-2018

DOI

10.1016/j.cnsns.2017.06.029

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