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2 results

  • A completely monotonic function involving the divided difference of the psi function and an equivalent inequality involving sums

  • Feng Qi
  • Journal:
    The ANZIAM Journal / Volume 48 / Issue 4 / April 2007
    Published online by Cambridge University Press:
    17 February 2009, pp. 523-532
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  • 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.

  • Some completely monotonic functions involving the gamma and polygamma functions

  • Part of
  • Feng Qi, Bai-Ni Guo, Chao-Ping Chen
  • Journal:
    Journal of the Australian Mathematical Society / Volume 80 / Issue 1 / February 2006
    Published online by Cambridge University Press:
    09 April 2009, pp. 81-88
    Print publication:
    February 2006
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  • The function [Γ(x + 1)]1/x(1 + 1/x)x/x is strictly logarithmically completely monotonic in (0, ∞). The function ψ″ (x + 2) + (1 + x2)/x2(1 + x)2 is strictly completely monotonic in (0, ∞).