Two Mappings in Connection to Hadamard's Inequalities
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In this paper, the authors show that Hadamard was not the first to discover the inequalities, but C. Hermite who obtained them in 1883, ten years before J.Hadamard.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1992-06-01 and is currently open access. It has received 246 citations till now. The article focuses on the topics: Hadamard three-lines theorem & Hermite–Hadamard inequality.read more
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Selected Topics on Hermite-Hadamard Inequalities and Applications
TL;DR: The Hermite-Hadamard double inequality for convex functions has been studied extensively in the literature, see as discussed by the authors for a survey of the Hermite Hadamard inequalities.
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Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
Sever S Dragomir,Ravi P. Agarwal +1 more
TL;DR: In this paper, two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions are given.
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On the hadamard’s inequlality for convex functions on the co-ordinates in a rectangle from the plane
TL;DR: An inequality of Hadamard's type for convex functions on the co-ordinates defined in a rectangle from the plane and some applications are given in this article, where some applications of the inequality are discussed.
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On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
TL;DR: Some inequalities are presented here for differentiable convex mappings, using Hermite-Hadamard's integral inequality holding for convex functions, and some error estimates for the midpoint formula are obtained.
On Some Inequalities for Convex Functions
TL;DR: In this article, the authors established new integral inequalities analogous to Hadamard's inequality by using a fairly elementary analysis and showed that these inequalities are equivalent to the integral inequalities in the sense that
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Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
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