This document discusses Chebyshev's inequality and how it relates to Riemann-Liouville fractional integrals. It presents the classical form of Chebyshev's inequality and explores extending it using Riemann-Liouville fractional integrals. The document contains multiple sections on the proofs of Chebyshev's inequality via these fractional integrals.

1. Chebyshev's inequality and
Riemann-Liouville Fractional
Integrals
Marcela V. Mihai,
prof. Drd. Grd.I, Colegiul Tehnic “Gheorghe
Asachi”

2. The classical Chebyshev’s
inequality

3. Chebyshev’s inequality via
Riemann-Liouville fractional
integrals

4. Chebyshev’s inequality via
Riemann-Liouville fractional
integrals

5. Chebyshev’s inequality via
Riemann-Liouville fractional
integrals

6. Proof

7. Proof

8. Proof

9. Proof

10. Proof

11. Proof