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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 (-½, ∞) or (0, ∞); 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.
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참고문헌 (26)
참고문헌 신청
A. Elbert / 2000 / On some properties of the gamma function / Proc. Amer. Math. Soc. : 2667 ~ 2673
A. Laforgia / 1984 / Further inequalities for the gamma function / Mathematics of Computation 42 (166) : 597 ~ 600
A. M. Fink / 1982 / Kolmogorov-Landau inequalities for monotone functions / Journal of Mathematical Analysis and Applications 90 (1) : 251 ~ 258
A. Z. Grinshpan / 2006 / Completely monotonic functions involving the gamma and q-gamma functions / Proceedings of the American Mathematical Society. : 1153 ~ 1160
A.-J. Li / 2006 / Logarithmically complete monotonicity and Shur
A. Laforgia / 1984 / Further inequalities for the gamma function / Mathematics of Computation 42 (166) : 597 ~ 600
A. M. Fink / 1982 / Kolmogorov-Landau inequalities for monotone functions / Journal of Mathematical Analysis and Applications 90 (1) : 251 ~ 258
A. Z. Grinshpan / 2006 / Completely monotonic functions involving the gamma and q-gamma functions / Proceedings of the American Mathematical Society. : 1153 ~ 1160
A.-J. Li / 2006 / Logarithmically complete monotonicity and Shur
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