|
This article is cited in 7 scientific papers (total in 7 papers)
Absolute convergence of Fourier series with respect to bounded systems
S. V. Bochkarev Steklov Mathematical Institute, Academy of Sciences of the USSR
Abstract:
In this paper we prove that for the piecewise-linear unit jump approximation the sum of the moduli of the Fourier coefficients with respect to an arbitrary complete orthonormal system, which is totally bounded, has, when averaged over sections, a lower bound of order $\log N$, where $N^{-1}$ is the approximation step.
Received: 25.12.1972
Citation:
S. V. Bochkarev, “Absolute convergence of Fourier series with respect to bounded systems”, Mat. Zametki, 15:3 (1974), 363–370; Math. Notes, 15:3 (1974), 207–211
Linking options:
https://www.mathnet.ru/eng/mzm7356 https://www.mathnet.ru/eng/mzm/v15/i3/p363
|
Statistics & downloads: |
Abstract page: | 187 | Full-text PDF : | 70 | First page: | 1 |
|