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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… Click to show full abstract

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.

Keywords: characteristics classes; functions small; small smoothness; classes functions; approximation characteristics

Journal Title: Siberian Mathematical Journal
Year Published: 2018

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