Further improvements of some double inequalities for bounding the gamma function
The aim of this paper is to establish some inequalities for bounding the gamma function that yields sharp asymptotic estimates for Gamma(chi) as chi tends to infinity. Our results improve several known results stated by Alzer [H. Alzer, Inequalities for the gamma function, Proc. Amer. Math. Soc., 128 (1) (1999) 141- 147], Andreson and Qiu [G. D. Anderson, S.- L. Qiu, A monotonicity property of the gamma function, Proc. Amer. Math. Soc., 125 (1997), 3355- 3362], and Li and Chen [J. Choi, Some mathematical constants, Appl. Math. Comput., 187 (2007) 122- 140]. (C) 2012 Elsevier Ltd. All rights reserved.
inequalities gamma function