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Hermite–Hadamard Type Inequalities for Coordinated Quasi-Convex Functions via Generalized Fractional Integrals

Abstract:

In this research, we used a generalized fractional integral to create a new Hermite–Hadamard-type integral inequality for functions of two independent variables that are quasi-convex on the coordinates. We also introduce additional inequalities of the Hermite–Hadamard type for functions of two variables that are twice partially differentiable and whose mixed-order partial derivatives in absolute value to specified powers are quasi-convex on the coordinates. Our findings are two-variable expansions of previous findings.