New (α,β)-order pre-Grüss fractional integral inequalities and applications for CRV

Key Points

• The research aims to derive new integral inequalities utilizing Riemann-Liouville fractional integrals, specifically focusing on the pre-Grüss inequalities.
• Deriving two primary integral inequalities: ?-pre-Grüss inequality and (?, ?)-pre-Grüss inequality.
• Employing Riemann-Liouville fractional integrals in the derivation process.
• Discussing applications to continuous random variables with bounded probability density functions.
• New estimates for integral inequalities are provided, extending existing literature.
• Classical results are shown as special cases derived from the new findings.