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On orders of approximation of functional classes in a Marcinkiewicz space. (Russian) Zbl 1133.41315
Summary: We obtain estimates of orders of approximation of functional classes of S. M. Nikol’skij $$H^6_p$$ and O. V. Besov $$B^r_{p,q}$$ in the norm of an anisotropic Marcinkiewicz space and find an order of the orthowidth of class $$H^r_p$$.

##### MSC:
 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 41A46 Approximation by arbitrary nonlinear expressions; widths and entropy 42A10 Trigonometric approximation