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

Włodzimierz Łenski, Bogdan Roszak (2008)

Banach Center Publications

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

On the quantitative Fatou property

A. Kamaly, A. M. Stokolos (2002)

Colloquium Mathematicae

The result of this article together with [1] and [4] gives a full quantitative description of a Fatou type property for functions from Hardy classes in the upper half plane.

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