W\lodzimierz \Lenski
Published 2012-04-05, updated 2012-04-07Version 2
We will present an estimation of the $H_{k_{0},k_{r}}^{q}f$ $\ $and $% H_{u}^{\lambda \varphi}f$ means as a approximation versions \ of \ the Totik type generalization$(\text{see \cite{11, 12}}) $ \ of the results of \ J. Marcinkiewicz and A. Zygmund in \cite{JM, ZA}. As a measure of such approximations we will use the function constructed on the base of definition of the Gabisonia points \cite{1}. Some results on the norm approximation will also given.
Pointwise strong (H, Phi) approximation by Fourier series of L^{Psi} integrable functions
Some integrals and series involving the Stieltjes constants
a.e. Convergence of Nörlund means with respect to Vilenkin systems of integrable functions
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