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Publikacija Elektrotehničkog fakulteta - serija: matematika 2006, br. 17, str. 88-92
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Logarithmically complete monotonicity and Shur-convexity for some ratios of gamma functions
(naslov ne postoji na srpskom)
aHenan Polytechnic University, School of Mathematics and Informatics, Jiaozuo City, Henan Province, China bHenan Polytechnic University, School of Mathematics and Informatics, Research Institute of Applied Mathematics, Jiaozuo City, Henan, China
e-adresa: iaijun72@163.com
Sažetak(ne postoji na srpskom) Define F(x) = Г(mx) xm-1Гm(x) and G(x)- Г(mx) Гm(x). for x > 0 and m = 2 3,…. In this paper, we consider the logarithmically complete monotonicity properties for the function F and 1/G, and we prove that the function φ(x) = ∏ n i=1 Г(mxi + 1) Гm (x1 + 1) is strictly Schur-convex (-1/m,+∞)n.
Ključne reči
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