Results 31 to 40 of about 1,944 (219)
Old and New on the Hermite-Hadamard Inequality
Real Analysis Exchange, 2004 This paper is a survey of the results grown up from the Hermite-Hadamard inequality. Both, old and new results are presented, complemented and discussed within this framework. The Hermite-Hadamard inequality is presented in connection with subdifferentials and quadrature formulae; some improvements of it are discussed. Then a short account on classical
Niculescu, Constantin P. +1 more
openaire +3 more sources
Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application [PDF]
, 2007 An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Cerone, P. +4 more
core +1 more source
AIP Advances, 2018 In this paper, our main aim is to give results for conformable fractional integral version of Hermite-Hadamard inequality and their applications for mid-point formula and means.
Arshad Iqbal +4 more
doaj +1 more source
Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions
Mathematics, 2022 The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities for the class of functions whose product
Muhammad Bilal Khan +3 more
doaj +1 more source
Some Further Results Using Green’s Function for s-Convexity
Journal of Mathematics, 2023 For s-convex functions, the Hermite–Hadamard inequality is already well-known in convex analysis. In this regard, this work presents new inequalities associated with the left-hand side of the Hermite–Hadamard inequality for s-convexity by utilizing a ...
Çetin Yildiz +3 more
doaj +1 more source
Generalization and Refinements of Hermite-Hadamard's Inequality
Rocky Mountain Journal of Mathematics, 2005 The Hermite-Hadamard inequality can be easily extended to the case of twice differentiable functions \(f\) with bounded second derivative. Precisely, if \(\gamma\leq f^{\prime\prime} \leq\Gamma,\) then \[ \frac{3S_{2}-2\Gamma}{24}(b-a)^{2}\leq\frac{1}{b-a}\int_{a}^{b}f\,dt-f\left( \frac{a+b}{2}\right) \leq\frac{3S_{2}-2\gamma}{24}(b-a)^{2} \] and ...
Qi, Feng, Wei, Zong-Li, Yang, Qiao
openaire +2 more sources
On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]
, 2009 We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well.
Ozdemir, M +11 more
core +1 more source
A Sharp Multidimensional Hermite–Hadamard Inequality [PDF]
International Mathematics Research Notices, 2020 Abstract Let $\Omega \subset {\mathbb{R}}^d $, $d \geq 2$, be a bounded convex domain and $f\colon \Omega \to{\mathbb{R}}$ be a non-negative subharmonic function. In this paper, we prove the inequality $$\begin{equation*} \frac{1}{|\Omega|}\int_{\Omega} f(x)\, \textrm{d}x \leq \frac{d}{|\partial\Omega|}\int_{\partial\Omega} f(x ...
openaire +3 more sources
Hermite-Hadamard-Fejér inequalities for double integrals
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 Summary: In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane \(\mathbb{R}^2\). Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
openaire +7 more sources
Journal of Applied Mathematics, 2014 We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. Some integral inequalities with the right-hand side of the fractional Hermite-Hadamard type inequality are also established.
Feixiang Chen
doaj +1 more source