The Absolute Summability of Fourier Series

J. M. Whittaker

doi:10.1017/S0013091500007483

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

then

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.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Prasad, B. N. 1931. The Absolute Summability (A) of Fourier Series. Proceedings of the Edinburgh Mathematical Society, Vol. 2, Issue. 3, p. 129.

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Dabreo, Mildred Darrel Atsbha, Gebreslassie Goswami, Vishwajeet and Vhatkar, Rajendra 2022. Soft Computing: Theories and Applications. Vol. 425, Issue. , p. 53.

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The Absolute Summability of Fourier Series

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