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Pointwise Convergence of the Fejér Means of Functions on Unbounded Vilenkin Groups

✍ Scribed by G. Gát

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 248 KB
Volume: 101
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1999.3346

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## 1. Definitions and Notations Let (pn) be a sequence of non-negative constants such that po=-O and let A P,, = pk . Then the transformations k-0 n and (1.2) n m=O T n = { P n I -I C Pn-mSm define, respectively, (R, pn) and N ~R L U N D means of the sequence (an), where s , is the partial sum of t