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New Sharp Bounds for the Bernoulli Numbers and Refinement of Becker-Stark Inequalities
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We obtain new sharp bounds for the Bernoulli numbers: 2(2n)!/(π2n(22n−1))<|B2n|≤(2(22k−1)/22k)ζ(2k)(2n)!/(π2n(22n−1)), n=k,k+1,…, k∈N+, and establish sharpening of Papenfuss's inequalities, the refinements of Becker-Stark, and Steckin's inequalities.
Finally, we show a new simple proof of Ruehr-Shafer inequality.
American Psychological Association (APA)
Ge, Hua-feng. 2011. New Sharp Bounds for the Bernoulli Numbers and Refinement of Becker-Stark Inequalities. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-992968
Modern Language Association (MLA)
Ge, Hua-feng. New Sharp Bounds for the Bernoulli Numbers and Refinement of Becker-Stark Inequalities. Journal of Applied Mathematics No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-992968
American Medical Association (AMA)
Ge, Hua-feng. New Sharp Bounds for the Bernoulli Numbers and Refinement of Becker-Stark Inequalities. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-992968
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992968