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

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.
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.