Integral inequalities of Hermite-Hadamard type for (α,m)-GA-F-convex functions

Key Points

• The aim is to define (α, m)-geometric-arithmetic-F-convex functions and derive integral inequalities related to them.
• Introduced (α, m)-GA-F-convex functions through a new definition.
• Developed integral identities and employed analytic techniques for proving inequalities.
• Established several integral inequalities of the Hermite-Hadamard type for these functions.
• Demonstrated new integral inequalities that extend Hermite-Hadamard inequalities to (α, m)-GA-F-convex functions.
• Identified specific functional relationships that enhance understanding of convexity in this context.