Convergence Rates of Subseries. Issue 2 (7th February 2019)
- Record Type:
- Journal Article
- Title:
- Convergence Rates of Subseries. Issue 2 (7th February 2019)
- Main Title:
- Convergence Rates of Subseries
- Authors:
- Leonetti, Paolo
- Abstract:
- Abstract: Let( x n ) be a positive real sequence decreasing to 0 such that the series∑ n x n is divergent andlim inf n x n + 1 / x n > 1 / 2 . We show that there exists a constantθ ∈ ( 0, 1 ) such that, for eachℓ > 0, there is a subsequence( x n k ) for which∑ k x n k = ℓ andx n k = O ( θ k ) .
- Is Part Of:
- American Mathematical Monthly. Volume 126:Issue 2(2019)
- Journal:
- American Mathematical Monthly
- Issue:
- Volume 126:Issue 2(2019)
- Issue Display:
- Volume 126, Issue 2 (2019)
- Year:
- 2019
- Volume:
- 126
- Issue:
- 2
- Issue Sort Value:
- 2019-0126-0002-0000
- Page Start:
- 163
- Page End:
- 167
- Publication Date:
- 2019-02-07
- Subjects:
- Primary 40A35
Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.tandfonline.com/loi/uamm20 ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00029890.2019.1537761 ↗
- Languages:
- English
- ISSNs:
- 0002-9890
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 9528.xml