On Approximation Characteristics of Some Classes of Functions of Small Smoothness


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We find the exact order of the entropy numbers and the Kolmogorov widths of a class of functions defined by a condition on the uniform norm of blocks of the Fourier series taken over a lacunar sequence of indices. This result generalizes a result by B. S. Kashin and V. N. Temlyakov.

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A. Radomskii

Steklov Mathematical Institute of the Russian Academy of Sciences

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