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On rearrangements of infinite series

Year 1991, Volume: 40 , 0 - 0, 01.01.1991

M. A Sarıgöl

https://doi.org/10.1501/Commua1_0000000522

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

Riemann’s theorem Cauchyv showed

References

  • Communications, Series A1:Mathematics and Statistics

Year 1991, Volume: 40 , 0 - 0, 01.01.1991

M. A Sarıgöl

https://doi.org/10.1501/Commua1_0000000522

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

M. A Sarıgöl This is me

Publication Date January 1, 1991
Submission Date January 1, 1991
Published in Issue Year 1991 Volume: 40

Cite

APA Sarıgöl, M. A. (1991). On rearrangements of infinite series. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 40. https://doi.org/10.1501/Commua1_0000000522
AMA Sarıgöl MA. On rearrangements of infinite series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1991;40. doi:10.1501/Commua1_0000000522
Chicago Sarıgöl, M. A. “On Rearrangements of Infinite Series”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 40, January (January 1991). https://doi.org/10.1501/Commua1_0000000522.
EndNote Sarıgöl MA (January 1, 1991) On rearrangements of infinite series. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 40
IEEE M. A. Sarıgöl, “On rearrangements of infinite series”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 40, 1991, doi: 10.1501/Commua1_0000000522.
ISNAD Sarıgöl, M. A. “On Rearrangements of Infinite Series”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 40 (January 1991). https://doi.org/10.1501/Commua1_0000000522.
JAMA Sarıgöl MA. On rearrangements of infinite series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1991;40. doi:10.1501/Commua1_0000000522.
MLA Sarıgöl, M. A. “On Rearrangements of Infinite Series”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 40, 1991, doi:10.1501/Commua1_0000000522.
Vancouver Sarıgöl MA. On rearrangements of infinite series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1991;40.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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