QUASI-CONVEX FUNCTIONS OF HIGHER ORDER

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QUASI-CONVEX FUNCTIONS OF HIGHER ORDER

机译：准凸起高阶的功能

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We introduce and investigate the notions of n-quasi-convex as well as strongly n-quasi-convex functions with modulus c > 0. We give characterizations of these functions, which are counterparts of those given for quasi-convex and strongly n-convex functions. We introduce and investigate the notions of n-quasi-concave and n-quasi-affine functions. as well as strongly n-quasi-concave and strongly n-quasi-affine functions. We also give a generalization of higher order quasi-convex functions introduced by E. Popoviciu (1982).

机译：我们介绍并调查N-Quasi-Convex的概念以及模数C> 0的强N-Quasi-Convex功能。我们给出了这些功能的特征，这些功能是用于准凸的和强大的N-Convex的那些的对应物职能。我们介绍并调查N-Quasi-yscave和N-Quasi-actifum函数的概念。以及强烈的n-准凹凸和强烈的N-准仿射功能。我们还提供了E. Popoviciu（1982）引入的高阶准凸函数的概括。

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《Mathematical inequalities & applications》 |2019年第4期|共20页
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正文语种 eng
中图分类数学;
关键词
Generalized convexity; quasi-convex function; quasi-convex function of higher order; strongly convex function of higher order; strongly quasi-convex function; strongly quasi-convex function of higher order;

机译：广义凸起;准凸函数;准凸起高阶的函数;高阶凸起的函数;强大的准凸函数;强烈的准凸起函数高阶;

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专利

1. P-functions, Quasi-convex Functions, and Hadamard-type Inequalities [J] . C. E. M. Pearce, A. M. Rubinov Journal of Mathematical Analysis and Applications . 1999,第1期

机译：P函数，拟凸函数和Hadamard型不等式
2. New Strong Differential Subordination and Superordination of Meromorphic Multivalent Quasi-Convex Functions [J] . Abbas Kareem Wanas, Abdulrahman H. Majeed Kragujevac Journal of Mathematics . 2020,第1期

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3. Incremental quasi-subgradient methods for minimizing the sum of quasi-convex functions [J] . Hu Yaohua, Yu Carisa Kwok Wai, Yang Xiaoqi Journal of Global Optimization . 2019,第4期

机译：递增准分级分子化方法，用于最小化准凸函数的总和
4. On New Fractional Hermite-Hadamard Type Inequalities for n-time Differentiable Quasi-Convex Functions and PFunctions [C] . Erhan Set, M. Emin ?zdemir, E. Aykan Alan International Conference on Advances in Natural and Applied Sciences . 2017

机译：关于N-Time可分辨率准凸函数和PFunction的新的分数Hermite-Hadamard型不等式
5. Asymptotically flat quasi-convex Riemannian metrics of nonnegative scalar curvature and the constraint equations in general relativity. [D] . Smith, Brian Ronald. 2001

机译：非负标量曲率的渐近平拟凸黎曼度量和广义相对论中的约束方程。
6. Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications [O] . Sofian Obeidat, Muhammad Amer Latif -1

机译：几何拟凸函数的Hermite–Hadamard型不等式的加权形式及其应用
7. P-functions, Quasi-convex Functions, and Hadamard-type Inequalities [O] . Pearce C.E.M., Rubinov A.M. 1999

机译：P函数，拟凸函数和Hadamard型不等式
8. Quasi-Convex and Pseudo-Convex Functions on Solid Convex Sets. [R] . ferland,jacques a. 1971

机译：实凸集上的拟凸和伪凸函数。

QUASI-CONVEX FUNCTIONS OF HIGHER ORDER

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