On rearrangements of infinite series

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:40
On rearrangements of infinite series

On rearrangements of infinite series

Authors : M A SARIGÖL

Pages : 0-0

Doi:10.1501/Commua1_0000000522

View : 11 | Download : 8

Publication Date : 1991-01-01

Article Type : Research Paper

Abstract :In this paper, we proved the converse of Riemann’s theorem and then applied it to Cauchy product series of alternating series of real terms. Moreover, we showed that the concept of un- conditionally convergence of infinite series can be replaced by the boundedness of sequence of partial sums of every rearranged series of series.
Keywords : Riemanns theorem, Cauchyv, showed

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