An upper bound of a function with two independent variables

Applied Mathematics E - Notes

Volumn 6, Issue , 2006, Pages 148-152

  Qi, Feng ^a   Cao, Jian ^a   Niu, Da Wei ^a   Ujevic, Nenad ^b  

^a HENAN POLYTECHNIC UNIVERSITY   (China)

^b UNIVERSITY OF SPLIT   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646888409     PISSN: 16072510     EISSN: 16072510     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. R. D. Atanassov and U. V. Tsoukrovski, Some properties of a class of logarith-mically completely monotonie functions, C. R. Acad. Bulgare Sci., 41(2)(1988), 21-23.
2. C. Berg, Integral representation of some functions related to the gamma function, Mediterr. J. Math., 1(4)(2004), 433-439.
3. A. Z. Grinshpan and M. E. H. Ismail, Completely monotonie functions involving the gamma and q-gamma functions, Proc. Amer. Math. Soc., 134(2006), 1153-1160.
4. R. A. Horn, On infinitely divisible matrices, kernels and functions, Z. Wahrscheinlichkeitstheorie und Verw. Geb, 8(1967), 219-230.
5. F. Qi, Certain logarithmically N-alternating monotonie functions involving gamma and q-gamma functions, RGMIA Res. Rep. Coll., 8(3)(2005), Art. 5. Available online at http://rgmia.vu.edu.au/v8n3.html.
6. F. Qi and Ch.-P. Chen, A complete monotonicity property of the gamma function, J. Math. Anal. Appl., 296(2) (2004), 603-607.
7. F. Qi and B.-N. Guo, Complete monotonicities of functions involving the gamma and digamma functions, RGMIA Res. Rep. Coll., 7(1)(2004), Art. 8, 63-72. Available online at http://rgmia.vu.edu.au/v7nl.html.
8. F. Qi and B.-N. Guo, Some classes of logarithmically completely monotonie functions involving gamma function, submitted.
9. F. Qi, B.-N. Guo, and Ch.-P. Chen, Some completely monotonie functions involving the gamma and polygamma functions, J. Austral. Math. Soc., 80(2006), 81-88.
10. F. Qi, B.-N. Guo, and Ch.-P. Chen, Some completely monotonie functions involving the gamma and polygamma functions, RGMIA Res. Rep. Coll., 7(1)(2004), Art. 5, 31-36. Available online at http://rgmia.vu.edu.au/v7nl.html.
11. F. Qi, B.-N. Guo, and Ch.-P. Chen, The best bounds in Gautschi-Kershaw inequalities, Math. Inequal. Appl., (2006), to appear. RGMIA Res. Rep. Coll., 8(2)(2005), Art. 17. Available online at http://rgmia.vu.edu.au/v8n2.html.
12. F. Qi, D.-W. Niu, and J. Cao, An infimum and an upper bound of a function with two independent variables, Octogon Math. Mag., 14(1)(2006), in press.
13. H. van Haeringen, Completely Monotonie and Related Functions, Report 93-108, Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft, The Netherlands, 1993.