Refinements and sharpenings of some double inequalities for bounding the gamma function

Journal of Inequalities in Pure and Applied Mathematics

Volumn 9, Issue 1, 2008, Pages

  Guo, Bai Ni ^a   Zhang, Ying Jie ^b   Qi, Feng ^a  

^a HENAN POLYTECHNIC UNIVERSITY   (China)

^b JIAOZUO UNIVERSITY   (China)

Author keywords

Generalization; Inequality; Ke li vasi alzer's double inequalities; Refinement; Sharpening

Indexed keywords

EID: 43449112661     PISSN: None     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. H. ALZER, Inequalities for the gamma function, Proc. Amer. Math. Soc., 128(1) (1999), 141-147.
2. H. ALZER, Some gamma function inequalities, Math. Comp., 60 (1993) 337-346.
3. G.D. ANDERSON, R.W. BARNARD, K.C. RICHARDS, M.K. VAMANAMURTHY AND M. VUORINEN, Inequalities for zero-balanced hypergeometric functions, Trans. Amer. Math. Soc., 347(5) (1995), 1713-1723.
4. G.D. ANDERSON AND S.-L. QIU, A monotonicity property of the gamma function, Proc. Amer. Math. Soc., 125 (1997), 3355-3362.
5. C.-P. CHEN AND F. QI, Logarithmically completely monotonie functions relating to the gamma function, J. Math. Anal. Appl., 321 (2006), 405-411.
6. S. GUO, F. QI, AND H.M. SRIVASTAVA, Necessary and sufficient conditions for two classes of functions to be logarithmically completely monotonic, Integral Transforms Spec. Funct., 18(11) (2007), 819-826.
7. J. D. KEČLIĆ AND P. M. VASIĆ, Some inequalities for the gamma function, Publ. Inst. Math. (Beograd) (N. S.), 11 (1971), 107-114.
8. X. LI AND CH.-P. CHEN, Inequalities for the gamma function, J. Inequal. Pure Appl. Math., 8(1) (2007), Art. 28. [ONLINE: http://jipam.vu.edu.au/article.php?sid=842].
9. F. QI, The extended mean values: Definition, properties, monotonicities, comparison, convexities, generalizations, and applications, Cubo Mat. Educ. 5(3) (2003), 63-90. RGMIA Res. Rep. Coll., 5(1) (2002), Art. 5, 57-80. [ONLINE: http://rgmia.vu.edu.au/v5n1.html].