• 제목/요약/키워드: Wendel's inequality

검색결과 1건 처리시간 0.014초

FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION

  • Qi, Feng;Niu, Da-Wei;Cao, Jian;Chen, Shou-Xin
    • 대한수학회지
    • /
    • 제45권2호
    • /
    • pp.559-573
    • /
    • 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.