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\((k,s)\)-Riemann-Liouville fractional integral inequalities for continuous random variables. (English) Zbl 1366.26014

Summary: In this paper, we introduce some new concepts to the field of probability theory: \((k,s)\)-Riemann-Liouville fractional expectation and variance functions. Some generalized integral inequalities are established for \((k,s)\)-Riemann-Liouville expectation and variance functions.

MSC:

26A33 Fractional derivatives and integrals
26D15 Inequalities for sums, series and integrals
60E15 Inequalities; stochastic orderings
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