Some inequalities for the trigamma function in terms of the digamma function

Feng Qi and Cristinel Mortici

Applied Mathematics and Computation, 2015, vol. 271, issue C, 502-511

Abstract: In the paper, the authors establish three kinds of inequalities for the trigamma function in terms of the exponential function to powers of the digamma function. These newly established inequalities extend some known results. The method in the paper utilizes some facts from the asymptotic theory and is a natural way to solve problems for approximating some quantities for large values of the variable.

Keywords: Inequality; Digamma function; Trigamma function; Exponential function; Asymptotic series (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:502-511

DOI: 10.1016/j.amc.2015.09.039

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