학술논문
On the Unimprovability of Some Theorems on the Convergence in the Mean of Trigonometric Series.
Document Type
Article
Author
Source
Subject
*FOURIER series
*PARTIAL sums (Series)
*
Language
ISSN
1072-3374
Abstract
This paper puts forward a method for constructing trigonometric Fourier series with L2π-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. [ABSTRACT FROM AUTHOR]