This article is cited in 1 paper

On unimprovability of some theorems on convergence in mean of trigonometric series

A. S. Belov

Ivanovo State University, Ivanovo, Russia

Abstract: The paper puts forward a method for constructing trigonometric Fourier series with $L_{2\pi}$-unbounded partial sums that have coefficients with some preassigned properties. In particular, examples of trigonometric Fourier series showing that some conditions of convergence in the mean of trigonometric series cannot be sharpened are constructed.

UDC: 517.518

 English version: Journal of Mathematical Sciences (New York), 2020, 250:3, 404–418