Logarithmic convexity and inequalities for the gamma function

Journal of Mathematical Analysis and Applications

Volumn 203, Issue 2, 1996, Pages 369-380

  Merkle, Milan ^a  

^a Faculty of Electrical Engineering   (Yugoslavia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030587988     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0385     Document Type: Article

References (11)

1. 1. H. Alzer, Some Gamma function inequalities, Math. Comp. 60 (1993), 337-346.
2. 2. E. Artin, "The Gamma Function," Holt, Rinehart & Winston, New York, 1964; translation from the German original of 1931.
3. 3. A. V. Boyd, A note on a paper by Uppuluri, Pacific J. Math. 22 (1967), 9-10.
4. 4. J. T. Chu, A modified Wallis product and some applications, Amer. Math. Monthly 69, No. 5 (1969), 402-404.
5. 5. G. M. Fihtengolc, "Kurs differencialnogo i integralnogo isčisleniya," Vol. II, Moskva, 1970. (In Russian).
6. 6. W. Gautschi, Some elementary inequalities relating to the gamma and incomplete gamma function, J. Math. Phys. 38 (1959), 77-81.
7. 7. F. B. Hildebrand, "Introduction to Numerical Analysis," 2nd ed., McGraw-Hill, New York, 1974.
8. 8. D. Kershaw, Some extensions of W. Gautchi's inequalities for the gamma function, Math. Comp. 41 (1983), 607-611.
9. 9. I. Lazarević and A. Lupaś, Functional equations for Wallis and Gamma functions, Univ. Beograd Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 461-497 (1979), 245-251.
10. 10. D. S. Mitrinović, "Analytic Inequalities," Springer-Verlag, Berlin/Heidelberg/New York, 1970.
11. 11. V. R. R. Uppuluri, A stronger version of Gautschi's inequality satisfied by the Gamma function, Scand. Actuar. J. 1-2 (1965), 51-52.