论文标题
$ x $ -Convexity和Quasi- $ x $ -convex功能的应用
$X$-convexity and Applications of Quasi-$X$-Convex Functions
论文作者
论文摘要
引入了一类实际功能，即凸功能家族的概括。在这方面，我们定义了$ x $ -convex，严格$ x $ -convex，Quasi- $ x $ -convex，strictly Quasi- $ x $ -convex和semi strictly Quasi- $ x $ -convex函数。此外，在本文中，我们通过各种示例对这些功能的基本属性进行了详细的研究，以支持这些概念。最后，对优化问题的研究采用了准$ x $ -Convex，半分布的准$ x $ -Convex和严格的准$ x $ -Convex函数。
A class of real functions, which is the generalization of a family of convex functions, is introduced; in this connection, we have defined $X$-convex, strictly $X$-convex, quasi-$X$-convex, strictly quasi-$X$-convex, and semi-strictly quasi-$X$-convex functions. Moreover, in this paper, we give a detailed study of the fundamental properties of these functions with various examples, supporting the concepts. Finally, the study of optimization problems employs quasi-$X$-convex, semistrictly quasi-$X$-convex, and strictly quasi-$X$-convex functions.
