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

Włodzimierz Łenski; Bogdan Roszak

Banach Center Publications, Tome 95 (2011), p. 219-235 / Harvested from The Polish Digital Mathematics Library

Résumé

We present an estimation of the $H_{k ₀, k_{r}}^{q, α} f$ 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.

Publié le : 2011-01-01

Zbl 1229.42011

EUDML-ID : urn:eudml:doc:286619

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     author = {W\l odzimierz \L enski and Bogdan Roszak},
     title = {Lebesgue type points in strong (C,$\alpha$) approximation of Fourier series},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {219-235},
     zbl = {1229.42011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-15}
}

Włodzimierz Łenski; Bogdan Roszak. Lebesgue type points in strong (C,α) approximation of Fourier series. Banach Center Publications, Tome 95 (2011) pp. 219-235. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-15/