Generalized fractional integral inequalities for continuous random variables (Q1657990)

Summary: Some generalized integral inequalities are established for the fractional expectation and the fractional variance for continuous random variables. Special cases of integral inequalities in this paper are studied by \textit{N. S. Barnett} et al. [JIPAM, J. Inequal. Pure Appl. Math. 1, No. 2, Paper No. 21, 13 p. (2000; Zbl 0969.60028)] and \textit{Z. Dahmani} [Int. J. Nonlinear Sci. 9, No. 4, 493--497 (2010; Zbl 1394.26002); Ann. Funct. Anal. 1, No. 1, 51--58 (2010; Zbl 1205.26031); Malaya J. Mat. 2, No. 2, 172--179 (2014; Zbl 1371.60043)].