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Walsh-Fourier series with coefficients of generalized bounded variation
Published online by Cambridge University Press: 09 April 2009
Abstract
We extend in different ways the class of null sequences of real numbers that are of bounded variation and study the Walsh-Fourier series of integrable functions on the interval [(0, 1) with such coefficients. We prove almost everywhere convergence as well as convergence in the pseu dometric of Lr(0, 1) for 0 < r < 1.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 47 , Issue 3 , December 1989 , pp. 458 - 465
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- Copyright © Australian Mathematical Society 1989
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