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On absolute summability factors of infinite series and their application to Fourier series

Published online by Cambridge University Press:  24 October 2008

R. N. Mohapatra ,
G. Das  and
V. P. Srivastava
R. N. Mohapatra
Affiliation:
Department of Mathematics, University of Jabalpur, Jabalpur, India
G. Das
Affiliation:
Department of Mathematics, University of Jabalpur, Jabalpur, India
V. P. Srivastava
Affiliation:
Department of Mathematics, University of Jabalpur, Jabalpur, India
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Extract

Definition. Let {sn} be the n-th partial sum of a given infinite series. If the transformation

where

is a sequence of bounded variation, we say that εanis summable |C, α|.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 107 - 118
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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