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

摘要

In the paper, the authors establish three kinds of inequalities for the trigamma function in terms of the exponential function to powers of the ciigamma 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. (C) 2015 Elsevier Inc. All rights reserved.