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The Absolute Summability of Fourier Series

Published online by Cambridge University Press:  20 January 2009

J. M. Whittaker
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An elementary proposition states that an absolutely convergent series is convergent, i.e. that if

then

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 2 , Issue 1 , January 1930 , pp. 1 - 5
Copyright
Copyright © Edinburgh Mathematical Society 1930

References

page 2 note 1 Hobson, . Functions of a Real Variable. 2 (1926), 550.Google Scholar

page 2 note 2 ibid., 629.

page 3 note 1 Op. crt., 1 (1921), 577.Google Scholar

page 4 note 1 The remainder of the paper was added, 14th August 1929, to answer two questions raised by Dr Copson.