Strong approximation via Sidon type inequalities

DOI10.1006/jath.1998.3185zbMath0910.42015OpenAlexW2057609959MaRDI QIDQ1270278

Ferenc Schipp, Sandor Fridli

Publication date: 12 April 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3185

zbMATH Keywords

BMOdyadic Hardy spacesWalsh seriesstrong summabilityCiesielski seriesSidon inequalitiesUDMD

Mathematics Subject Classification ID

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

Related Items

Strong summability of double Vilenkin–Fourier series ⋮ Strong approximation by Marcinkiewicz means of twodimensional Walsh-Kaczmarz-Fourier series ⋮ On everywhere divergence of the strong \(\Phi\)-means of Walsh-Fourier series ⋮ Almost everywhere strong summability of double Walsh-Fourier series ⋮ Pointwise strong summability of Vilenkin-Fourier series ⋮ Almost everywhere convergence of strong Nörlund logarithmic means of Walsh-Fourier series ⋮ Strong approximation by Marcinkiewicz means of two-dimensional Walsh-Fourier series ⋮ On integrability and strong summability of Walsh-Kaczmarz series ⋮ A note on strong summability of two-dimensional Walsh-Fourier series ⋮ Strong summability of two-dimensional Vilenkin-Fourier series ⋮ A remark on the divergence of strong power means of Walsh-Fourier series

Cites Work

• Notes on Fourier series: Strong approximation
• An inverse Sidon type inequality for the Walsh system
• On the strong approximation of Fourier series
• A Class of L 1 -Convergence
• An inverse Sidon type inequality
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