A Double Inequality for the Trigamma Function and Its Applications

Zhen-Hang Yang, Yu-Ming Chu and Xiao-Jing Tao

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We prove that and are the best possible parameters in the interval such that the double inequality holds for . As applications, some new approximation algorithms for the circumference ratio and Catalan constant are given. Here, is the trigamma function.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:702718

DOI: 10.1155/2014/702718

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