Asymptotic expansions and inequalities relating to the gamma function

Author:

Chen Chao-Ping1,Mortici Cristinel2

Affiliation:

1. School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China

2. Valahia University of Târgovişte, Târgovişte, Romania + Academy of Romanian Scientists Bucharest, Romania

Abstract

We present some asymptotic expansions and inequalities for ?(x+1)1/x ?(x+2)1/(x+1) and ?(x+1)1/x.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference32 articles.

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3. G. Allasia, C. Giordano, J. Pečarić: On the arithmetic and logarithmic means with applications to Stirling’s formula, Atti Sem. Mat. Fis. Univ. Modena 47 (1999), no. 2, 441-455.

4. H. Alzer: On an inequality of H. Minc and L. Sathre, J. Math. Anal. Appl. 179 (1993), 396-402.

5. H. Alzer: On some inequalities involving (n!)1/n, Rocky Mountain J. Math. 24 (1994), no. 3, 867-873.

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