On the strong approximation of Fourier series

DOI10.1007/BF01896834zbMath0454.42001MaRDI QIDQ3901949

Vilmos Totik

Publication date: 1980

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

strong means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Summability and absolute summability of Fourier and trigonometric series (42A24) Absolute and strong summability (40F05)

Related Items (31)

Strong summability of double Vilenkin–Fourier series ⋮ Sharpening of Stečkin's theorem to strong approximation with exponent \(p\) ⋮ Strong approximation by Fourier series ⋮ Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems ⋮ On the estimation of strong means of Fourier series ⋮ Embedding results pertaining to strong approximation of Fourier series. III ⋮ Everywhere divergent \(\Phi\)-means of Fourier series ⋮ Strong approximation by Marcinkiewicz means of twodimensional Walsh-Kaczmarz-Fourier series ⋮ On the strong summation of Fourier series with variable exponents ⋮ On everywhere divergence of the strong \(\Phi\)-means of Walsh-Fourier series ⋮ On the strong approximation by the (\(C,\alpha\))-means of Fourier series. I ⋮ Almost everywhere strong summability of double Walsh-Fourier series ⋮ Strong summability of Fourier series of (\(\psi\) ,\(\beta\))-differentiable functions ⋮ On the strong approximation by the (C,x)-means of Fourier series. II ⋮ Almost everywhere strong \(C,1,0\) summability of 2-dimensional trigonometric Fourier series ⋮ Strong approximation by Marcinkiewicz means of two-dimensional Walsh-Fourier series ⋮ BMO-estimation and almost everywhere exponential summability of quadratic partial sums of double Fourier series ⋮ On integrability and strong summability of Walsh-Kaczmarz series ⋮ Degree of approximation in the space \(H^\omega_p\) by the even-type delayed arithmetic mean of Fourier series ⋮ On exponential summability of rectangular partial sums of double trigonometric Fourier series ⋮ An estimate of the rate of convergence of Fourier series in the generalized Hölder metric by deferred Cesàro mean ⋮ A note on strong summability of two-dimensional Walsh-Fourier series ⋮ Estimates for a group of \(\varphi \) deviations and the strong summability of Taylor series of functions of class \(A ^\psi H_{\infty}(D)\) ⋮ New sequels of a problem of Alexits ⋮ Strong summability of two-dimensional Vilenkin-Fourier series ⋮ Approximation of continuous functions by \(T\)-means of Fourier series ⋮ Sharpening of Stečkin's theorem to strong approximation ⋮ Strong approximation via Sidon type inequalities ⋮ Notes on Fourier series: Strong approximation ⋮ A remark on the divergence of strong power means of Walsh-Fourier series ⋮ On approximation of continuous functions in Lipschitz norms

Cites Work

• Über die Approximation im starken Sinne
• Bemerkungen zur Approximation im starken Sinne
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