Integral Inequalities for Some New Classes of Convex Functions

Muhammad Aslam Noor; Khalida Inayat Noor; Muhammad Uzair Awan

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Integral Inequalities for Some New Classes of Convex Functions

机译：一些新类凸函数的积分不等式

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摘要

In this paper, we introduce a new class of convex functions, which is called nonconvex functions. We show that this class unifies several previously known and new classes of convex functions. We derive several new inequalities of Hermite-Hadamard type for nonconvex functions. Some special cases are also discussed. Results proved in this paper continue to hold for these special cases.

机译：在本文中，我们介绍了一类新的凸函数，称为非凸函数。我们证明了该类将凸函数的几个先前已知和新类统一起来。对于非凸函数，我们导出了Hermite-Hadamard类型的几个新不等式。还讨论了一些特殊情况。在这些特殊情况下，本文证明的结果继续成立。

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《American Journal of Applied Mathematics》 |2015年第1期|共5页
作者
Muhammad Aslam Noor; Khalida Inayat Noor; Muhammad Uzair Awan;
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中图分类数学;
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机译：关于二次微分的拟凸和凸函数通过分数积分的一些积分不等式
2. On some integral inequalities for twice differentiable quasi-convex and convex functions via fractional integrals [J] . Jaekeun Park Applied mathematical sciences . 2015,第62期

机译：关于二次微分的拟凸和凸函数通过分数积分的一些积分不等式
3. MORE ACCURATE CLASSES OF JENSEN-TYPE INEQUALITIES FOR CONVEX AND OPERATOR CONVEX FUNCTIONS [J] . Choi Daeshik, Krnic Mario, Pecaric Josip Mathematical inequalities & applications . 2018,第2期

机译：更准确的凸和操作员凸函数的Jensen型不等式类别
4. Hadamard type inequalities for m-convex and (α, m)-convex functions via fractional integrals [C] . Merve Avci Ardic, Alper Ekinci, Ahmet Ocak Akdemir, International Eurasian Conference on Mathematical Sciences and Applications . 2018

机译：Hadamard型不等式对于M-Convex和（α，m） - 透露函数通过分数积分函数
5. Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains. [D] . Sloane, Craig Andrew. 2011

机译：半空间和凸域上的分数积分的Hardy-Sobolev-Maz'ya不等式。
6. General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [O] . G. Farid, K. A. Khan, N. Latif, -1

机译：通过扩展的广义Mittag-Leffler函数凸函数和m-凸函数的一般分数阶积分不等式
7. Integral Inequalities for Some New Classes of Convex Functions [O] . Muhammad Aslam Noor 2015

机译：一些新类凸函数的积分不等式

Integral Inequalities for Some New Classes of Convex Functions

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