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Some More Theorems Concerning the Absolute Summability of Fourier Series and Power Series

✍ Scribed by Flett, T. M.

Book ID: 120102893
Publisher: Oxford University Press
Year: 1958
Tongue: English
Weight: 630 KB
Volume: s3-8
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s3-8.3.357

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of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as