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Tauberian Theorems in the Theory of Absolute Riesz Summability

✍ Scribed by Rath, D.

Book ID: 120096914
Publisher: Oxford University Press
Year: 1974
Tongue: English
Weight: 154 KB
Volume: s2-7
Category: Article
ISSN: 0024-6107
DOI: 10.1112/jlms/s2-7.4.665

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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