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Minc H和Sathre L不等式最好的界(英文)

The Best Bounds in Minc H and Sathre L Inequality
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摘要 给出了函数f(x)和g(x)单调性的证明.据此,得到了著名的Minc H和Sathre L不等式最好的界. Monotonicity of the functions f(x) and g(x) are proved. According to the above results, we obtained the best bounds in the well-known Minc H and Sathre L inequality.
作者 孙建设
出处 《大学数学》 北大核心 2007年第1期52-55,共4页 College Mathematics
基金 NSF of Henan Province(0511012000) Sf for Pure Research of Natural Science of the Education Depart ment of Henan Province(200512950001),China.
关键词 伽玛函数 单调性 Minc H和Sathre L不等式 最好界 Gamma function monotonicity, H Minc and L Sathre inequality best bounds
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参考文献5

  • 1Bullen P S. A dictionary of inequalities, Pitman Monographs and Surveys in Pure and Applied Mathematics 97[M].Addison Wesley Longman Limited, 1998.
  • 2Chen Chao-ping, Qi Feng. Monotonieity results for the gamma function[J]. J. Inequal. Pure Appl. Math, 2003,3(2) : Art. 44
  • 3Dedic L, Pearce C E M, Pecaric J. Hadamard and Gragomir-Agarwal inequalities, higher-order convexity and the Euler formula[J]. J. Korea. Math. Soc , 2001,38(6) :1235-1243.
  • 4Kershaw D A. Laforgia. monotonieity results for the gamma function[J]. Attidella Accademia delle Seienze di Torino Classe di Scienze Fisiche, Matematiche e Naturali, 1985, 119(3):127-133.
  • 5Mine H, Sathre L. Some inequalities involving (r!)1/r(r!)[J]. Proe. Edinburgh Math. Soc, 1965, 14:41-46.

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