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Lebesgue type points in strong (C,α) approximation of Fourier series

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Łenski W., Roszak B.

Banach Center Publications

2011

tom 92

nr 1

219-235

We present an estimation of the $H_{k₀,k_{r}}^{q,α}f$ and $H_{λ,u}^{ϕ,α}f$ means as approximation versions of the Totik type generalization (see [5], [6]) of the result of G. H. Hardy, J. E. Littlewood. Some corollaries on the norm approximation are also given.

On the pointwise strong approximation by (C,1)(E,1) means

100%

Łenski W., Roszak B.

Banach Center Publications

2008

tom 79

nr 1

113-117

We present an estimate of the (C,1)(E,1)-strong means with mixed powers of the Fourier series of a function $f ∈ L_{2π}$ as a generalization of the result obtained by M. Yildrim and F. Karakus. Some corollaries on the norm approximation are also given.

Ograniczanie wyników

2 Banach Center Publications

2 Roszak B.

2 Łenski W.

1 2011

1 2008

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Lebesgue type points in strong (C,α) approximation of Fourier series

On the pointwise strong approximation by (C,1)(E,1) means