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

Włodzimierz Łenski; Bogdan Roszak

Banach Center Publications (2011)

  • Volume: 92, Issue: 1, page 219-235
  • ISSN: 0137-6934

Abstract

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We present an estimation of the H k , 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.

How to cite

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Włodzimierz Łenski, and Bogdan Roszak. "Lebesgue type points in strong (C,α) approximation of Fourier series." Banach Center Publications 92.1 (2011): 219-235. <http://eudml.org/doc/286619>.

@article{WłodzimierzŁenski2011,
abstract = {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.},
author = {Włodzimierz Łenski, Bogdan Roszak},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {219-235},
title = {Lebesgue type points in strong (C,α) approximation of Fourier series},
url = {http://eudml.org/doc/286619},
volume = {92},
year = {2011},
}

TY - JOUR
AU - Włodzimierz Łenski
AU - Bogdan Roszak
TI - Lebesgue type points in strong (C,α) approximation of Fourier series
JO - Banach Center Publications
PY - 2011
VL - 92
IS - 1
SP - 219
EP - 235
AB - 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.
LA - eng
UR - http://eudml.org/doc/286619
ER -

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