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## Lebesgue type points in strong $(C,\alpha)$ approximation of Fourier series

### Volume 92 / 2011

Banach Center Publications 92 (2011), 219-235 MSC: 42A24. DOI: 10.4064/bc92-0-15

#### Abstract

We present an estimation of the $H_{k_{0},k_{r}}^{q,\alpha }f$ and $H_{\lambda,u}^{\phi,\alpha }f$ 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.

#### Authors

• Włodzimierz ŁenskiFaculty of Mathematics Computer Science and Econometrics
University of Zielona Góra
ul. Prof. Szafrana 4a
65-516 Zielona Góra, Poland
e-mail
• Bogdan RoszakFaculty of Mathematics Computer Science and Econometrics
University of Zielona Góra
ul. Prof. Szafrana 4a
65-516 Zielona Góra, Poland

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