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NOTES ON FOURIER SERIES (III): ASYMPTOTIC FORMULAE FOR THE SUMS OF CERTAIN TRIGONOMETRICAL SERIES

โœ Scribed by HARDY, G. H.; ROGOSINSKI, W. W.


Book ID
126826761
Publisher
Oxford University Press
Year
1945
Tongue
English
Weight
328 KB
Volume
os-16
Category
Article
ISSN
0033-5606

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Many approximation methods in C 2? may be generated via a certain function . # C [0, 1] with .(0)=1, .(1)=0. The function . j (t)=cos( j&1ร‚2) ?t ( j # N) generates the Rogosinski approximation method [N. K. Bari, ``A Treatise on Trigonometric Series,'' Vols. I, II, Pergamon Press, New York, 1964]. O