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On Tauberian theorems for Abel-Cesàro summability

Published online by Cambridge University Press:  18 May 2009

C. T. Rajagopal
C. T. Rajagopal
Affiliation:
Ramanujan Institute of Mathematics, Madras, India
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For a series Σan with partial sums An=a0 + a1 + … + an(n ≥ 0), supposed to be real in this note, we define, in a generally accepted notation ([2], pp. 7, 9, 94–98), the following transforms:

(C, α) sequence-transform,

(H, k)sequence-transform (k = 0, 1, 2, …):

(A: C, α)fnunction-transform,

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 4 , July 1958 , pp. 176 - 181
Copyright
Copyright © Glasgow Mathematical Journal Trust 1958

References

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