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2 results on '"Radomskii, A. O."'

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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2. On an inequality of Sidon type for trigonometric polynomials.

Author

Radomskii, A. O.

Subjects
*FOURIER series, *ARBITRARY constants, *MATHEMATICAL convolutions, *TRIGONOMETRY, *POLYNOMIALS, *MATHEMATICAL analysis
Abstract

We establish a lower bound for the uniform norm of the trigonometric polynomial of special form via the sum of the L-norms of its summands. This result generalizes a theorem due to Kashin and Temlyakov, which, in turn, generalizes the classical Sidon inequality. [ABSTRACT FROM AUTHOR]

Published
2011
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