Fractional integral inequalities for continuous random variables

Zoubir Dahmania,*

Fractional integral inequalities for continuous random variables

Authors :

Zoubir Dahmani^a,*

Author Address :

^aLaboratory LPAM, Faculty SEI, UMAB, University of Mostaganem, Algeria.

*Corresponding author.

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 generalize some interested results in [N.S. Barnett, P. Cerone, S.S. Dragomir and J. Roumeliotis: emph{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].

Keywords :

Integral inequalities, Riemann-Liouville integral, random variable, fractional dispersion, fractional variance.

DOI :

Article Info :

Received : January 03, 2014; Accepted : March 04, 2014.