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Some Tauberian theorems for Euler and Borel summability

The well-known summability methods of Euler and Borel are studied as mappings from ℓ1 into ℓ1. In this ℓ−ℓ setting, the following Tauberian results are proved: if x is a sequence that is mapped into ℓ1 by the Euler-Knopp method Er with r>0 (or the Borel matrix method) and x satisfies ∑n=0∞|xn−xn+1|n...

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-д хадгалсан:
Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: J. A. Fridy, K. L. Roberts
Формат: Artigo
Хэл сонгох:Inglês
Хэвлэсэн: Wiley 1980-01-01
Цуврал:International Journal of Mathematics and Mathematical Sciences
Нөхцлүүд:
Онлайн хандалт:http://dx.doi.org/10.1155/S0161171280000531
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