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On embeddings of function classes defined by constructive characteristics

Boris V. SimonovSergey Yu. Tikhonov — 2006

Banach Center Publications

In this paper we study embedding theorems for function classes which are subclasses of L p , 1 ≤ p ≤ ∞. To define these classes, we use the notion of best trigonometric approximation as well as that of a (λ,β)-derivative, which is the generalization of a fractional derivative. Estimates of best approximations of transformed Fourier series are obtained.

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