Email this article Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness
- Authors: Stasyuk S.A.1
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Affiliations:
- Institute of Mathematics of the NAS of Ukraine
- Issue: Vol 222, No 6 (2017)
- Pages: 787-796
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239274
- DOI: https://doi.org/10.1007/s10958-017-3332-5
- ID: 239274
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Abstract
The order bounds (in the case of uniform metrics) and exact order bounds (in the case of integral metrics) for the best m-term trigonometric approximation of periodic functions with generalized mixed smoothness from classes close to the Nikol’skii–Besov-type ones are obtained. Every of the upper bounds is realized by a constructive method based on greedy algorithms.
About the authors
Sergei A. Stasyuk
Institute of Mathematics of the NAS of Ukraine
Author for correspondence.
Email: stasyuk@imath.kiev.ua
Ukraine, Kiev
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