On Hadamard’s Inequality on a Disk
نویسندگان
چکیده
In this paper an inequality of Hadamard type for convex functions defined on a disk in the plane is proved. Some mappings naturally connected with this inequality and related results are also obtained.
منابع مشابه
On Hadamard’s Inequality for the Convex Mappings Defined on a Convex Domain in the Space
In this paper we obtain some Hadamard type inequalities for triple integrals. The results generalize those obtained in (S.S. DRAGOMIR, On Hadamard’s inequality for the convex mappings defined on a ball in the space and applications, RGMIA (preprint), 1999).
متن کاملn–EXPONENTIAL CONVEXITY OF WEIGHTED HERMITE–HADAMARD’S INEQUALITY
In this paper we construct n -exponentially convex functions and exponentially convex functions using the functional defined as the difference of the weighted Hermite-Hadamard’s inequality for monotone functions.
متن کاملHermite-Hadamard’s Inequalities for Preinvex Function via Fractional Integrals and Related Fractional Inequalities
This doubly inequality is known in the literature as Hermite-Hadamard integral inequality for convex mapping.We note that Hadamard’s inequality may be regarded as a refinement of the concept of convexity and it follows easily from Jensen’s inequality. For several recent results concerning the inequality (1) we refer the interested reader to [3,5,6,8,9,11,18,21,22] and the references cited there...
متن کاملThe Hadamard’s Inequality for s–Convex Function of 2-Variables on the Co-ordinates
In this paper the extension of Hadamard's type inequality for s– convex function and s–convex functions on the coordinates defined in 2-variables and some applications are given.
متن کامل