A new upper bound in the second Kershaw's double inequality and its generalizations
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摘要
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.
论文关键词：26D07,26D20,33B15,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
论文评审过程：Received 20 March 2007, Revised 28 July 2007, Available online 11 August 2007.
论文官网地址：https://doi.org/10.1016/j.cam.2007.07.037
