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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
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