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Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk

Hermite–Hadamard’s trapezoid and mid-point type inequalities on a disk

Some trapezoid and mid-point type inequalities related to the Hermite–Hadamard inequality on the disk of center $C=(a,b)$ and radius R, $D(C,R)\subseteq \mathbb{R}^{2}$ , are investigated. It is shown that the estimated value obtained in the trapezoid and mid-point type inequalities has a relation with the integral of the partial derivative …