Widths and entropy numbers of the classes of periodic functions of one and several variables in the space Bq,1

Authors

  • K.V. Pozharska Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., 01024, Kyiv, Ukraine
  • A.S. Romanyuk Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., 01024, Kyiv, Ukraine https://orcid.org/0000-0002-6268-0799
  • V.S. Romanyuk Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., 01024, Kyiv, Ukraine
https://doi.org/10.15330/cmp.16.2.351-366

Keywords:

Sobolev class, Nikol'skii-Besov class, entropy number, width
Published online: 2024-07-08

Abstract

Exact-order estimates are obtained for the entropy numbers and several types of widths (Kolmogorov, linear, trigonometric and orthowidth) for the Sobolev and Nikol'skii-Besov classes of one and several variables in the space Bq,1, 1<q<∞. It is shown, that in the multivariate case, in contrast to the univariate, the obtained estimates differ in order from the corresponding estimates in the space Lq.

Article metrics
How to Cite
(1)
Pozharska, K.; Romanyuk, A.; Romanyuk, V. Widths and Entropy Numbers of the Classes of Periodic Functions of One and Several Variables in the Space Bq,1. Carpathian Math. Publ. 2024, 16, 351-366.