Kolmogorov widths of anisotropic Sobolev classes
A. A. Vasil'eva
TL;DR
This paper provides order estimates for the Kolmogorov widths of anisotropic Sobolev and Nikol'skii classes, as well as for anisotropic finite-dimensional balls, advancing understanding of their approximation properties.
Contribution
It introduces new order estimates for Kolmogorov widths of anisotropic function classes and finite-dimensional balls, extending previous results in approximation theory.
Findings
Derived order estimates for anisotropic Sobolev classes
Established order estimates for Nikol'skii classes
Provided estimates for anisotropic finite-dimensional balls
Abstract
In this article, order estimates for the Kolmogorov widths of periodic anisotropic Sobolev and Nikol'skii classes are obtained, as well as order estimates for the Kolmogorov widths of anisotropic finite-dimensional balls.
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Taxonomy
TopicsMathematical Approximation and Integration · Advanced Research in Science and Engineering