New classes of fractional integral inequalities and some recent results on random variables

Amira ABDELNEBI 1 , Zoubir DAHMANI 2* , and Mehmet Zeki SARIKAYA 3

doi:10.26637/MJM0803/0002

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 :

10.26637/MJM0803/0002

Article Info :

Received : February 05, 2020; Accepted : April 28, 2020.