ANZIAM  J.  48 (2007), 523-532
A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums

Feng Qi
  Research Institute of Mathematical Inequality Theory
  Henan Polytechnic University
  Jiaozuo City
  Henan Province, 454010
  China
    qifeng618@gmail.com, qifeng618@hotmail.com


Abstract
In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sums is found, and an equivalent relation between complete monotonicity and one of the class of inequalities is established.
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