The Gibbs Phenomenon for Stromberg’s Piecewise Linear Wavelet


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Abstract

In this paper we study the Gibbs phenomenon for a Stromberg’s piecewise linear wavelet.We prove that the Gibbs phenomenon for partial sums of Fourier-Stromberg series occurs at all points of R and the Gibbs function is almost everywhere equal to \(\frac{{1 + 2\sqrt 3 }}{3}\).

About the authors

V. G. Mikayelyan

Yerevan State University

Author for correspondence.
Email: mik.vazgen@gmail.com
Armenia, Yerevan

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