Estimates for the widths of discrete function classes generated by a two-weight summation operator
- Authors: Vasil’eva A.A.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 294, No 1 (2016)
- Pages: 291-307
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174010
- DOI: https://doi.org/10.1134/S0081543816060201
- ID: 174010
Cite item
Abstract
Order estimates are obtained for the Kolmogorov, linear, and Gel’fand widths of the image of the unit ball of the space lp under the action of a two-weight summation operator with weights of special kind. Some limit conditions on the parameters defining the weights are considered.
About the authors
A. A. Vasil’eva
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: vasilyeva_nastya@inbox.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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