Email this article The Gibbs Phenomenon for Stromberg’s Piecewise Linear Wavelet
- Authors: Mikayelyan V.G.1
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Affiliations:
- Yerevan State University
- Issue: Vol 54, No 2 (2019)
- Pages: 112-123
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228311
- DOI: https://doi.org/10.3103/S1068362319020080
- ID: 228311
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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
