On Estimation of the Bullen-Mercer Inequality for Several Classes

Key Points

• The research aims to establish new Bullen-Mercer type inequalities for h-convex functions using fractional calculus methods.
• Utilization of Riemann-Liouville fractional operators
• Derivation of inequalities for h-convex functions
• Application of the B-function for computations
• Exploration of inequalities for bounded and Lipschitzian functions
• Establishment of novel fractional Bullen-Mercer inequalities
• Demonstration of simple computational methods using the B-function
• Presentation of new results specific to bounded and Lipschitzian functions