• Title, Summary, Keyword: Wendel's inequality

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FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION

  • Qi, Feng;Niu, Da-Wei;Cao, Jian;Chen, Shou-Xin
    • Journal of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.559-573
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    • 2008
  • In this paper, two classes of functions, involving a parameter and the classical Euler gamma function, and two functions, involving the classical Euler gamma function, are verified to be logarithmically completely monotonic in $(-\frac{1}{2},\infty)$ or $(0,\infty)$; some inequalities involving the classical Euler gamma function are deduced and compared with those originating from certain problems of traffic flow, due to J. Wendel and A. Laforgia, and relating to the well known Stirling's formula.