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- W2337865429 abstract "In this paper we prove that the condition $sum_{k=left[frac{n}{2}right] }^{2n}frac{lambda _{k}(p)}{(|n-k|+1)^{2-p}}=o(1), left(=O(1) right),$ is a necessary condition for the $L^{p} (0<p<1)$-convergence (upper boundedness) of a trigonometric series. Precisely, the results extend some results of A. S. Belov." @default.
- W2337865429 created "2016-06-24" @default.
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- W2337865429 date "2015-07-03" @default.
- W2337865429 modified "2023-10-18" @default.
- W2337865429 title "On a necessary condition for $L^p$ $(0 < p < 1)$-convergence (upper boundedness) of trigonometric series" @default.
- W2337865429 doi "https://doi.org/10.15330/cmp.7.1.83-90" @default.
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