EN
On rearrangements of infinite series
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
References
- Communications, Series A1:Mathematics and Statistics
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
M. A Sarıgöl
This is me
Türkiye
Publication Date
January 1, 1991
Submission Date
January 1, 1991
Acceptance Date
-
Published in Issue
Year 1970 Volume: 40
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
1.Sarıgöl MA. On rearrangements of infinite series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1991;40. doi:10.1501/Commua1_0000000522
Chicago
Sarıgöl, M. A. 1991. “On Rearrangements of Infinite Series”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 40 (January). 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
[1]M. A. Sarıgöl, “On rearrangements of infinite series”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 40, Jan. 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 1, 1991). https://doi.org/10.1501/Commua1_0000000522.
JAMA
1.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, Jan. 1991, doi:10.1501/Commua1_0000000522.
Vancouver
1.M. A Sarıgöl. On rearrangements of infinite series. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1991 Jan. 1;40. doi:10.1501/Commua1_0000000522
