Email this article Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems
- Authors: Volosivets S.S.1, Likhacheva T.V.1
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Affiliations:
- Saratov State University
- Issue: Vol 57, No 3 (2016)
- Pages: 486-497
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170474
- DOI: https://doi.org/10.1134/S0037446616030095
- ID: 170474
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Abstract
Considering the character systems of Vilenkin groups, we obtain some Sidon-type inequalities that generalize the results by Móricz and Avdispahić–Pepić. We apply the inequalities to the theory of strong approximation of functions by series in character systems. Our results are analogs of the trigonometric results by Totik, Leindler, Németh, and Siddiqi.
About the authors
S. S. Volosivets
Saratov State University
Author for correspondence.
Email: VolosivetsSS@mail.ru
Russian Federation, Saratov
T. V. Likhacheva
Saratov State University
Email: VolosivetsSS@mail.ru
Russian Federation, Saratov
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