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A Note on Divergent Series

Published online by Cambridge University Press:  20 November 2018

G. M. Petersen
G. M. Petersen*
Affiliation:
University of Arizona
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In this note we shall discuss certain matrix methods of summation, though otherwise, §1 and §2 are not connected.In this section, we shall study some properties of the method (Bh) where we say the series ∑uv is summable (Bh) when

The method (Bh) has been studied in special cases airsing from different values of h by Rogosinski [11; 12], Bernstein [2], and more recently by Karamata [3; 4].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952 , pp. 445 - 454
Copyright
Copyright © Canadian Mathematical Society 1952

References

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