2019
Том 71
№ 10

All Issues

Approximation by fourier sums and best approximations on classes of analytic functions

Serdyuk A. S., Stepanets O. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 3, pp 433-456.

Citation Example: Serdyuk A. S., Stepanets O. I. Approximation by fourier sums and best approximations on classes of analytic functions // Ukr. Mat. Zh. - 2000. - 52, № 3. - pp. 375-395.

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