Pointwise strong and very strong approximation by Fourier series of integrable functions
Abstract
We will present an estimation of the Hk0,krqf \ and % Huλ f means as a approximation versions \ of \ the Totik type generalization(see 11, 12) \ of the results of \ J. Marcinkiewicz and A. Zygmund in JM, ZA. As a measure of such approximations we will use the function constructed on the base of definition of the Gabisonia points 1. Some results on the norm approximation will also given.
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