Certain approximation problems for functions on the infinite-dimensional torus: Analogs of the Jackson theorem
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S. S. Platonov
Translated by: S. Kislyakov - St. Petersburg Math. J. 26 (2015), 933-947
- DOI: https://doi.org/10.1090/spmj/1368
- Published electronically: September 21, 2015
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Abstract:
Approximation of functions on the infinite-dimensional torus by trigonometric polynomials is treated. The main results of the paper provide analogs of the Jackson theorem about estimates of the best approximation in terms of the modulus of continuity of a function.References
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Bibliographic Information
- S. S. Platonov
- Affiliation: Petrozavodsk State University, pr. Lenina 33, Petrozavodsk 185910, Russia
- Email: platonov@psu.karelia.ru
- Received by editor(s): January 21, 2014
- Published electronically: September 21, 2015
- © Copyright 2015 American Mathematical Society
- Journal: St. Petersburg Math. J. 26 (2015), 933-947
- MSC (2010): Primary 41A17; Secondary 42A10
- DOI: https://doi.org/10.1090/spmj/1368
- MathSciNet review: 3443258