A new upper bound in the second Kershaw's double inequality and its generalizations

作者：Qi Feng^*; Guo Senlin; Chen Shou Xin

来源：Journal of Computational and Applied Mathematics, 2008, 220(1-2): 111-118.

DOI：10.1016/j.cam.2007.07.037

• Kershaw's double inequality
• ratio of gamma functions
• psi function
• polygamma function
• divided difference
• upper bound
• refinement
• extension
• generalization
• identric mean
• exponential mean
• generalized logarithmic mean
• completely monotonic function
• logarithmically completely monotonic function

In the paper, a new upper bound in the second Kershaw's double inequality involving ratio of gamma functions is established, and, as generalizations of the second Kershaw's double inequality, the divided differences of the psi and polygamma functions are bounded.

• 出版日期2008-10-15
• 单位河南大学; 河南理工大学