On a necessary condition for Lp (0<p<1) -convergence (upper boundedness) of trigonometric series

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 65
  • Downloads 0

How To Cite

Xh. Z. Krasniqi (2015). On a necessary condition for Lp (0<p<1) -convergence (upper boundedness) of trigonometric series. Карпатські математичні публікації, 7(1), 83-90. https://europub.co.uk/articles/-A-539163