Résumé:
Malaya J. Mat. 2(2)(2014) 172–179
Fractional integral inequalities for continuous random variables
Zoubir Dahmani
a
,
∗
a
Laboratory LPAM, Faculty SEI, UMAB, University of Mostaganem, Algeria.
Abstract
By introducing new concepts on the probability theory, new integral inequalities are established for the
fractional expectation and the fractional variance for continuous random variables. These inequalities gener-
alize some interested results in [N.S. Barnett, P. Cerone, S.S. Dragomir and J. Roumeliotis:
Some inequalities for
the dispersion of a random variable whose p.d.f. is defined on a finite interval
, J. Inequal. Pure Appl. Math., Vol. 2
Iss. 1 Art. 1 (2001), 1-18].