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

  • A. S. Serdyuk
  • O. I. Stepanets


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.
How to Cite
SerdyukA. S., and StepanetsO. I. “Approximation by Fourier Sums and Best Approximations on Classes of Analytic Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 3, Mar. 2000, pp. 375-9,
Research articles