A newly developed study into fractional Boole’s inequalities through twice differentiable functions and application

Key Points

• This research aims to develop fractional Boole inequalities specifically for h-convex functions using Riemann-Liouville integral operators.
• Derived inequalities from basic computations with the B-function.
• Applied the new inequalities to h-convex, s-convex, and P-functions.
• Provided applications for special means involving positive real numbers.
• Introduced novel fractional Boole inequalities for twice differentiable functions.
• Presented new insights into inequalities related to s-convex and P-functions.
• Demonstrated practical applications of inequalities for special means.