Some Hermite–Hadamard type integral inequalities for convex functions defined on convex bodies in ℝn\mathbb{R}^{n}

Sever S Dragomir

Type: Article

Publication Date: 2020-05-09

Citations: 2

DOI: https://doi.org/10.1515/jaa-2020-2005

Abstract

Abstract In this paper, by the use of the divergence theorem, we establish some integral inequalities of Hermite–Hadamard type for convex functions of several variables defined on closed and bounded convex bodies in the Euclidean space <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>ℝ</m:mi> <m:mi>n</m:mi> </m:msup> </m:math> {\mathbb{R}^{n}} for any <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>n</m:mi> <m:mo>≥</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> {n\geq 2} .

Locations

Journal of Applied Analysis - View
VU Research Repository (Victoria University) - View - PDF

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+	The converse of the Hermite–Hadamard inequality on simplices	2012	Flavia‐Corina Mitroi‐Symeonidis Eleutherius Symeonidis
+	On Hadamard’s inequality for h-convex function on a disk	2014	Marian Matłoka
+	Multidimensional Hermite–Hadamard inequalities and the convex order	2006	Jesús de la Cal Javier Cárcamo
+ PDF Chat	Inequalities involving multivariate convex functions. II	1990	Edward Neuman
+ PDF Chat	A Family of Mappings Associated with Hadamard's Inequality on a Hypercube	2011	Fuli Wang
+	On some inequality of Hermite-Hadamard type	2012	Szymon Wąsowicz Alfred Witkowski
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+ PDF Chat	Double integral inequalities of Hermite–Hadamard type for <i>h</i>-convex functions on linear spaces	2016	Sever S Dragomir
+	The Hermite—Hadamard Inequality on Simplices	2008	Mihály Bessenyei