New classes of fractional integral inequalities and some recent results on random variables
Authors :
Amira ABDELNEBI 1 , Zoubir DAHMANI 2* , and Mehmet Zeki SARIKAYA 3
Author Address :
1,2 Laboratory LPAM, UMAB University, Algeria.
3 Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce-TURKEY.
*Corresponding author.
Abstract :
In this paper, some applications of Continuous Uniform and Beta probability distributions are developed. Then, by means of Chebyshev and H\"{o}lder inequalities, some new results on integral inequalities are established. Finally, some concepts on $\omega $-weighted continuous random variables are further considered to derive some more results
Keywords :
Fractional integral inequalities, Riemann-Liouville integral, random variable, normalized fractional moment, normalized fractional $\omega $-weighted expectation.
DOI :
Article Info :
Received : February 05, 2020; Accepted : April 28, 2020.