Widths and best approximations for classes of convolutions of periodic functions

@article{Serdyuk1999WidthsAB,
  title={Widths and best approximations for classes of convolutions of periodic functions},
  author={A. Serdyuk},
  journal={Ukrainian Mathematical Journal},
  year={1999},
  volume={51},
  pages={748-763}
}
  • A. Serdyuk
  • Published 1999
  • Mathematics
  • Ukrainian Mathematical Journal
We establish exact lower bounds for the Kolmogorov widths in the metrics ofC andL for classes of functions with high smoothness; the elements of these classes are sourcewise-representable as convolutions with generating kernels that can increase oscillations. We calculate the exact values of the best approximations of such classes by trigonometric polynomials. 
7 Citations

References

SHOWING 1-10 OF 12 REFERENCES
Lower bounds for widths of classes of convolutions of periodic functions in the metrics ofC andL
  • 6
Onn-widths of periodic functions
  • 39
  • PDF
n-Widths in Approximation Theory
  • 810
Widths of classes of convolutions with Poisson kernel
  • 11
  • Highly Influential
...
1
2
...