Email this article Estimates of Quasi-Norms for a Certain Class of Double Sine Series
- Authors: Simonov B.V.1, Simonova I.E.1
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Affiliations:
- Volgograd State Technical University
- Issue: Vol 217, No 5 (2016)
- Pages: 660-670
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238123
- DOI: https://doi.org/10.1007/s10958-016-2997-5
- ID: 238123
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Abstract
It this paper, we examine the sums of double sine series with coefficients that are multiply monotonic with respect to subsequences. We obtain sufficient conditions under which these sums belong to the classes Lp, 0 < p < ∞.
About the authors
B. V. Simonov
Volgograd State Technical University
Author for correspondence.
Email: simonov-b2002@yandex.ru
Russian Federation, Volgograd
I. E. Simonova
Volgograd State Technical University
Email: simonov-b2002@yandex.ru
Russian Federation, Volgograd
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