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The Gibbs phenomenon for general Franklin systems

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Publication:1676266
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DOI10.3103/S1068362317040069zbMath1376.42038OpenAlexW2756705303MaRDI QIDQ1676266

Vazgen Gagik Mikayelyan

Publication date: 6 November 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362317040069


zbMATH Keywords

Fourier seriesGibbs phenomenongeneral Franklin system


Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)


Related Items (2)

The Gibbs phenomenon for Stromberg wavelets ⋮ The Gibbs phenomenon for Stromberg's piecewise linear wavelet



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On absolute convergence of series by a general Franklin system
  • On a generalization of general Franklin system on \(R\)
  • On series with respect to the Franklin system
  • Some inequalities for Franklin series
  • On the convergence and Gibbs phenomenon of Franklin series
  • Gibbs' phenomenon for multiplicative systems of Walsh and Vilenkin- Dzhafarli type
  • Unconditionality of general Franklin systems in Lp[0,1, 1<p<∞]
  • Properties of the orthonormal Franklin system




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