Notes on Fourier series: Strong approximation
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Publication:762705
DOI10.1016/0021-9045(85)90118-2zbMath0558.42001OpenAlexW2091315705MaRDI QIDQ762705
Publication date: 1985
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(85)90118-2
Related Items (24)
Strong summability of double Vilenkin–Fourier series ⋮ Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems ⋮ Uniform estimates of (\(\lambda\) ,\(\phi\) )-strong integral average deviations of Fourier operators ⋮ Everywhere divergent \(\Phi\)-means of 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 ⋮ \(\varphi\)-strong approximation of functions by trigonometric polynomials ⋮ Almost everywhere strong summability of double Walsh-Fourier series ⋮ Strong summability of Fourier integrals and their conjugates at Lebesgue's point of order \(p \in (1,2\)] ⋮ Strong summability of Fourier series of (\(\psi\) ,\(\beta\))-differentiable functions ⋮ Almost everywhere strong \(C,1,0\) summability of 2-dimensional trigonometric 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 ⋮ Pointwise strong and very strong approximation of Fourier series ⋮ On exponential summability of rectangular partial sums of double trigonometric Fourier series ⋮ Pointwise \((H,\Phi)\) strong approximation by Fourier series of \(L^{1}\) integrable functions ⋮ A note on strong summability of two-dimensional Walsh-Fourier series ⋮ Applications of general monotone sequences to strong approximation by Fourier series ⋮ Estimates for a group of \(\varphi \) deviations and the strong summability of Taylor series of functions of class \(A ^\psi H_{\infty}(D)\) ⋮ Strong summability of two-dimensional Vilenkin-Fourier series ⋮ Uniform estimates of the integral strong mean deviations of continuous functions by entire functions ⋮ Strong approximation via Sidon type inequalities ⋮ A remark on the divergence of strong power means of Walsh-Fourier series ⋮ Pointwise (H, Φ) Strong Approximation by Fourier Series of LΨ Integrable Functions
Cites Work
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- On structural properties of functions arising from strong approximation of Fourier series
- On the modulus of continuity in connection with a problem of J. Szabados concerning strong approximation
- On the strong approximation of Fourier series
- Über die Approximation im starken Sinne
- Über die Sättigungsklasse der starken Approximation durch Teilsummen der Fourierschen Reihe
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