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Sequences of regular summability matrices

✍ Scribed by C. Goffman; G. N. Wollan

Publisher: Springer Vienna
Year: 1972
Tongue: English
Weight: 141 KB
Volume: 76
Category: Article
ISSN: 0026-9255
DOI: 10.1007/bf01298276

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Let T = (tm,J (m, n = I, 2 ,...; all t,,, , > 0) define a regular summability method. It is known [l] that there is a bounded divergent sequence whose T-transform is also divergent. Here we point out that one can say more: namely, that for some real, bounded, divergent sequence {a,}~=, , its T-trans