Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Many researchers have been attracted to the study of convex analysis theory due both facts, theoretical significance, and applications in optimization, economics, other fields, which has led numerous improvements extensions subject over years. An essential part mathematical inequalities is function its extensions. In recent past, Jensen–Mercer inequality Hermite–Hadamard–Mercer type remained a topic interest inequalities. this paper, we several for GA-h-convex functions subclasses, including GA-convex functions, GA-s-convex GA-Q-convex GA-P-convex functions. We prove give weighted Hermite–Hadamard by applying newly established inequality. also establish type. Thus, new insights variants related Furthermore, apply our main results along with Hadamard fractional integrals subclasses. As special cases proven results, capture well-known from relevant literature.