Approximation by fourier sums and best approximations on classes of analytic functions |
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| Authors: | A. I. Stepanets’ A. S. Serdyuk |
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| Affiliation: | (1) Institute of Mathematics, Ukranian Academy of Sciences, kiev |
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| Abstract: | We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics of C and L1 on classes of convolutions of periodic functions that can be regularly extended into a fixed strip of the complex plane. |
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