Title
Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function
Abstract
We prove that some functions associated with the products ¿ k = 1 n 2 k - 1 2 k , ¿ k = 1 n 3 k - 2 3 k - 1 , ¿ k = 1 n 3 k - 2 3 k and ¿ k = 1 n 3 k - 1 3 k are completely monotonic. By using the results obtained, we derive some inequalities for the previous products. Our results improve some known inequalities.
Year
DOI
Venue
2015
10.1016/j.amc.2015.03.020
Applied Mathematics and Computation
Keywords
Field
DocType
asymptotic expansion,completely monotonic functions,gamma function,inequality
Monotonic function,Discrete mathematics,Asymptotic expansion,Gamma function,Mathematics
Journal
Volume
Issue
ISSN
259
C
0096-3003
Citations 
PageRank 
References 
0
0.34
3
Authors
1
Name
Order
Citations
PageRank
Chao-Ping Chen15812.24