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.
