A double inequality for gamma function

Journal of Inequalities and Applications

Volumn 2009, Issue , 2009, Pages

  Chu, Yuming ^b   Zhang, Xiaoming ^a  

^a Haining Radio and TV University   (China)

^b HUZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449377691     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1155/2009/503782     Document Type: Article

References (29)

1. Whittaker E. T., Watson G. N., A Course of Modern Analysis 1996 Cambridge, UK Cambridge University Press vi+608 Cambridge Mathematical Library
2. Alzer H., Felder G., A Turn-type inequality for the gamma function Journal of Mathematical Analysis and Applications 2009 350 1 276 282
3. Zhao T.-H., Chu Y.-M., Jiang Y.-P., Monotonic and logarithmically convex properties of a function involving gamma functions Journal of Inequalities and Applications 2009 2009 13
4. Alzer H., Inequalities for Eulers gamma function Forum Mathematicum 2008 20 6 955 1004
5. Batir N., Inequalities for the gamma function Archiv der Mathematik 2008 91 6 554 563
6. Laforgia A., Natalini P., Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions Journal of Inequalities and Applications 2006 2006 8
7. Yu Y., An inequality for ratios of gamma functions Journal of Mathematical Analysis and Applications 2009 352 2 967 970
8. Agarwal R. P., Elezovi N., Peari J., On some inequalities for beta and gamma functions via some classical inequalities Journal of Inequalities and Applications 2005 5 593 613
9. Merkle M., Gurlands ratio for the gamma function Computers Mathematics with Applications 2005 49 2-3 389 406
10. Alzer H., On Ramanujans double inequality for the gamma function The Bulletin of the London Mathematical Society 2003 35 5 601 607
11. Guo B.-N., Qi F., Inequalities and monotonicity for the ratio of gamma functions Taiwanese Journal of Mathematics 2003 7 2 239 247
12. Alzer H., On a gamma function inequality of Gautschi Proceedings of the Edinburgh Mathematical Society 2002 45 3 589 600
13. Dragomir S. S., Agarwal R. P., Barnett N. S., Inequalities for beta and gamma functions via some classical and new integral inequalities Journal of Inequalities and Applications 2000 5 2 103 165
14. Alzer H., A mean-value inequality for the gamma function Applied Mathematics Letters 2000 13 2 111 114
15. Alzer H., Inequalities for the gamma function Proceedings of the American Mathematical Society 2000 128 1 141 147
16. Merkle M., Convexity, Schur-convexity and bounds for the gamma function involving the digamma function The Rocky Mountain Journal of Mathematics 1998 28 3 1053 1066
17. Palumbo B., A generalization of some inequalities for the gamma function Journal of Computational and Applied Mathematics 1998 88 2 255 268
18. Dutka J., On some gamma function inequalities SIAM Journal on Mathematical Analysis 1985 16 1 180 185
19. Laforgia A., Further inequalities for the gamma function Mathematics of Computation 1984 42 166 597 600
20. Selliah J. B., An inequality satisfied by the gamma function Canadian Mathematical Bulletin 1976 19 1 85 87
21. Gautschi W., A harmonic mean inequality for the gamma function SIAM Journal on Mathematical Analysis 1974 5 278 281
22. Gautschi W., Some elementary inequalities relating to the gamma and incomplete gamma function Journal of Mathematics and Physics 1960 38 77 81
23. Erber T., The gamma function inequalities of Gurland and Gautschi Scandinavian Aktuarietidskr 1961 1960 27 28
24. Keki J. D., Vasi P. M., Some inequalities for the gamma function Institut Mathmatique Publications 1971 11(25) 107 114
25. Kershaw D., Some extensions of W. Gautschis inequalities for the gamma function Mathematics of Computation 1983 41 164 607 611
26. Merkle M., Logarithmic convexity and inequalities for the gamma function Journal of Mathematical Analysis and Applications 1996 203 2 369 380
27. Elbert., Laforgia A., On some properties of the gamma function Proceedings of the American Mathematical Society 2000 128 9 2667 2673
28. Alzer H., On an integral inequality LAnalyse Numrique et la Thorie de lApproximation 1989 18 2 101 103
29. Satnoianu R. A., Improved GA -convexity inequalities Journal of Inequalities in Pure and Applied Mathematics 2002 3 5, article 82 1 6