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

@article{Stepanets2000ApproximationBF,
  title={Approximation by fourier sums and best approximations on classes of analytic functions},
  author={A. I. Stepanets and A. Serdyuk},
  journal={Ukrainian Mathematical Journal},
  year={2000},
  volume={52},
  pages={433-456}
}
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. 
15 Citations
Approximation of classes of analytic functions by a linear method of special form
  • 3
Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric
  • 12
Approximation of classes of analytic functions by Fourier sums in the metric of the space Lp
  • 8
Approximation of Convolution Classes by Fourier Sums. New Results
  • 1
Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
  • 13
  • Highly Influenced
...
1
2
...

References

SHOWING 1-10 OF 10 REFERENCES
Widths and best approximations for classes of convolutions of periodic functions
  • 7
Widths of classes of convolutions with Poisson kernel
  • 11
Deviations of Fourier sums on classes of entire functions
  • 3