GENERATING NEW INEQUALITIES AND EQUALITIES: A STATISTICAL APPROACH

Wafik Youssef Younan (Egypt)

Received September 19, 2007

References:

[1] E. El-Neweihi and F. Proschan, Unified treatment of inequalities of the Weierstrass product type, Amer. Math. Monthly 86 (1979), 206-208. [2] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge University Press, 1988. [3] D. S. Mitrinovic, E. S. Barnes, D. C. B. Marsh and J. R. M. Radok, Elementary Inequalities, P. Noordhoff, Ltd., Groningen, The Netherlands, 1964. [4] W. Y. Younan, A statistical approach for deriving some properties of the gamma and beta functions, The Egyptian Statistical Journal, Vol. 39, ISSR, Cairo University, 1995, pp. 132-155.

Keywords and phrases: elementary inequalities, probability distributions, mathematical expectation.