Email this article Widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B1,1
- Authors: Hembars’kyi M.V.1, Hembars’ka S.B.1
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Affiliations:
- Lesya Ukrainka East-European National University
- Issue: Vol 235, No 1 (2018)
- Pages: 35-45
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242041
- DOI: https://doi.org/10.1007/s10958-018-4056-x
- ID: 242041
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Abstract
We have obtained the exact-by-order estimates of Kolmogorov, linear, and trigonometric widths of the classes \( {B}_{p,\theta}^{\varOmega } \) of periodic functions of many variables in the space B1,1 the norm in which is stronger than the L1-norm.
About the authors
Mykhailo V. Hembars’kyi
Lesya Ukrainka East-European National University
Author for correspondence.
Email: hembarskyi@gmail.com
Ukraine, Lutsk
Svitlana B. Hembars’ka
Lesya Ukrainka East-European National University
Email: hembarskyi@gmail.com
Ukraine, Lutsk
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