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1. On Approximation Characteristics of Some Classes of Functions of Small Smoothness.

Author

Radomskii, A. O.

Subjects
*KOLMOGOROV complexity, *FOURIER series, *POLYNOMIALS, *INTEGERS, *APPROXIMATION theory
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. [ABSTRACT FROM AUTHOR]

Published
2018
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