General Lebesgue Constants for Linear Mean Subsequences of Fourier Sums |
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| Authors: | Falaleev L. P. |
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| Affiliation: | 1. Mathematics Institute, Ministry of Education and Science of Kazakhstan, Kazakhstan
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| Abstract: | Simple sufficient conditions for the boundedness of the norms of the general matrix operators constructed from the subsequences of partial sums of trigonometric Fourier series with polynomial order of growth are obtained. They guarantee a particular rate of approximation for subclasses of continuous functions. |
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