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L1-convergence of Fourier series
Published online by Cambridge University Press: 09 April 2009
Abstract
For an integrable function f on T, we introduce a modified partial sum and establish its L1-convergence property. The relation between the sum and L1-convergence classes is also established. As a corollary, a new L1-convergence class is obtained. It is shown that this class covers all known L1-convergence classes.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 41 , Issue 3 , December 1986 , pp. 376 - 390
- Copyright
- Copyright © Australian Mathematical Society 1986
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