A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality

作者：Qi Feng^*

来源：Journal of Computational and Applied Mathematics, 2007, 206(2): 1007-1014.

DOI：10.1016/j.cam.2006.09.005

• gamma function
• logarithmically completely monotonic function
• best bound
• the first Kershaw's double inequality
• JG Wendel's inequality
• refinement
• generalization
• extension
• open problem

In the article, the logarithmically complete monotonicity of a class of functions involving Euler's gamma function are proved, a class of the first Kershaw-type double inequalities are established, and the first Kershaw's double inequality and Wendel's inequality are generalized, refined or extended. Moreover, an open problem is posed.

• 出版日期2007-9-15
• 单位河南理工大学; 河南大学