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Absolute logarithmic summability of the Fourier series

✍ Scribed by Sulaxana Kumari

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 338 KB
Volume: 41
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(73)90243-6

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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