Estimating the digamma and trigamma functions by completely monotonicity arguments

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摘要

We establish new sharp bounds for the digamma and trigamma functions, using the complete monotonicity of some class of functions.

论文关键词：Gamma and polygamma functions,Complete monotonicity,Inequalities

论文评审过程：Available online 12 October 2010.

论文官网地址：https://doi.org/10.1016/j.amc.2010.10.023