Remarks on a paper by Chao-Ping Chen and Feng Qi
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Abstract:
In a recent paper, Chao-Ping Chen and Feng Qi (2005) established sharp upper and lower bounds for the sequence $P_{n}:=\frac {1.3\ldots (2n-1)}{2.4\ldots 2n}$. We show that their result follows easily from a theorem of G. N Watson published in 1959. We also show that the main result of Chen and Qi’s paper is a special case of a more general inequality which admits a very short proof.References
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Additional Information
- Stamatis Koumandos
- Affiliation: Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
- Email: skoumand@ucy.ac.cy
- Received by editor(s): September 15, 2004
- Received by editor(s) in revised form: November 30, 2004
- Published electronically: October 6, 2005
- Communicated by: Carmen C. Chicone
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 1365-1367
- MSC (2000): Primary 33B15; Secondary 26D20
- DOI: https://doi.org/10.1090/S0002-9939-05-08104-9
- MathSciNet review: 2199181