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Volumn 134, Issue 5, 2006, Pages 1365-1367

Remarks on a paper by Chao-Ping Chen and Feng Qi

Author keywords

Best bounds; Gamma function; Monotonicity; Wallis' inequality

Indexed keywords


EID: 33646748489     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-08104-9     Document Type: Article
Times cited : (14)

References (16)
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    • G. E. Andrews, R. Askey, and R. Roy, Special functions, Encyclopedia of Mathematics and its Applications, 71. Cambridge University Press, Cambridge, 1999. xvi+664 pp. ISBN: 0-521-62321-9; 0-521-78988-5 Cambridge University Press, Cambridge, 1999. MR1688958 (2000g:33001)
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  • 2
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    • The best bounds in Wallis' inequality
    • MR2093060
    • Chao-Ping Chen and Feng Qi, The best bounds in Wallis' inequality, Proc. Amer. Math. Soc. 133 (2005), no. 2, 397-401. MR2093060
    • (2005) Proc. Amer. Math. Soc. , vol.133 , Issue.2 , pp. 397-401
    • Chen, C.-P.1    Qi, F.2
  • 3
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    • Best upper and lower bounds in Wallis' inequality
    • to appear
    • Chao-Ping Chen and Feng Qi, Best upper and lower bounds in Wallis' inequality, J. Indones. Math. Soc. 12 (2006), to appear.
    • (2006) J. Indones. Math. Soc. , vol.12
    • Chen, C.-P.1    Qi, F.2
  • 4
    • 33645570583 scopus 로고    scopus 로고
    • Completely monotonic function associated with the gamma function and proof of Wallis' inequality
    • to appear
    • Chao-Ping Chen and Feng Qi, Completely monotonic function associated with the gamma function and proof of Wallis' inequality, Tamkang J. Math. 36, (2005), no. 4, to appear.
    • (2005) Tamkang J. Math. , vol.36 , Issue.4
    • Chen, C.-P.1    Qi, F.2
  • 6
    • 13544265686 scopus 로고    scopus 로고
    • Improvement of lower bound in Wallis' inequality
    • Art. 23
    • Chao-Ping Chen and Feng Qi, Improvement of lower bound in Wallis' inequality, RGMIA Res. Rep. Coll. 5 (2002), suppl., Art. 23. Available online at http://rgmia.vu.edu.au/v5(E).html.
    • (2002) RGMIA Res. Rep. Coll. , vol.5 , Issue.SUPPL.
    • Chen, C.-P.1    Qi, F.2
  • 7
    • 13544251755 scopus 로고    scopus 로고
    • A new proof of the best bounds in Wallis' inequality
    • Art. 2
    • Chao-Ping Chen and Feng Qi, A new proof of the best bounds in Wallis' inequality, RGMIA Res. Rep. Coll. 6 (2003), no. 2, Art. 2. Available online at http://rgmia.vu.edu.au/v6n2.html.
    • (2003) RGMIA Res. Rep. Coll. , vol.6 , Issue.2
    • Chen, C.-P.1    Qi, F.2
  • 8
    • 0000714249 scopus 로고    scopus 로고
    • The best bounds in Gautschi's inequality
    • MR1749300 (2001g:33001)
    • N. Elezović, C. Giordano and J. Pečarić, The best bounds in Gautschi's inequality, Math. Inequal. Appl. 3 (2000), no. 2, 239-252. MR1749300 (2001g:33001).
    • (2000) Math. Inequal. Appl. , vol.3 , Issue.2 , pp. 239-252
    • Elezović, N.1    Giordano, C.2    Pečarić, J.3
  • 9
    • 29644436169 scopus 로고    scopus 로고
    • Positive Gegenbauer polynomial sums and applications to starlike functions
    • to appear
    • S. Koumandos and S. Ruscheweyh, Positive Gegenbauer polynomial sums and applications to starlike functions, Constr. Approx., to appear.
    • Constr. Approx.
    • Koumandos, S.1    Ruscheweyh, S.2
  • 10
    • 33847351556 scopus 로고    scopus 로고
    • An extension of Vietoris's inequalities
    • to appear
    • S. Koumandos, An extension of Vietoris's inequalities, Ramanujan J., to appear.
    • Ramanujan J.
    • Koumandos, S.1
  • 11
    • 14944340570 scopus 로고    scopus 로고
    • Some properties of the gamma and psi functions, with applications
    • S. -L. Qiu and M. Vuorinen, Some properties of the gamma and psi functions, with applications, Math. Comp. 74 (2005), 723-742.
    • (2005) Math. Comp. , vol.74 , pp. 723-742
    • Qiu, S.L.1    Vuorinen, M.2
  • 12
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    • Z. Sasvári, Inequalities for binomial coefficients, J. Math. Anal. Appl. 236 (1999), no. 1, 223-226. MR1702663 (2000d:26024)
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    • Sasvári, Z.1
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    • P. Stǎnicǎ, Good lower and upper bounds on binomial coefficients, JIPAM. J. Inequal. Pure Appl. Math. 2 (2001), no. 3, Article 30, 5 pp. (electronic). MR1876263 (2003g:05018)
    • (2001) JIPAM. J. Inequal. Pure Appl. Math. , vol.2 , Issue.3
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  • 16
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    • Edinburgh Math. Notes 42 (1959), 7-9. MR0117358 (22:8138)
    • (1959) Edinburgh Math. Notes , vol.42 , pp. 7-9


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