On a necessary condition for Lp (0<p<1) -convergence (upper boundedness) of trigonometric series
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 1
Abstract
In this paper we prove that the condition ∑2nk=[n2]λk(p)(|n−k|+1)2−p=o(1)(=O(1)), is a necessary condition for the Lp(0<p<1)-convergence (upper boundedness) of a trigonometric series. Precisely, the results extend some results of A. S. Belov.
Authors and Affiliations
Xh. Z. Krasniqi
Keywords
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- EP ID EP539163
- DOI 10.15330/cmp.7.1.83-90
- Views 42
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