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On Strong and Absolute Summability

Published online by Cambridge University Press:  18 May 2009

D. Borwein
D. Borwein
Affiliation:
St. Salvator's College, University of St. Andrews
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Suppose throughout that λ > 0, κ > - l. γ is real and that

The series is said to be

(i) summable (C, k) to s if

(ii) strongly summable (C, k + 1) with index λ, or summable |C, k + 1|λ, to s if

(iii) absolutely summable (C, k) with indices γ, λ, or summable |C, k + 1|λ, if

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 4 , Issue 3 , January 1960, pp. 122 - 139
Copyright
Copyright © Glasgow Mathematical Journal Trust 1960

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