毕业
论文
政研论文下载论文大学下载论文大学下载关于长拳的论文浙大论文封面下载
《广义凸函数的定义和性质》摘要
浙江海洋学院毕业论文
摘要
凸函数是一类重要的函数，它的概念最早见于Jensen[1905]著述中。它在纯粹数学和应用数学的众多领域中具有广泛的应用，现已成为数学规划、对策论、数理经济学、变分学和最优控制等学科的理论基础和有力工具。为了理论上的突破，加强它们在实践中的应用，产生了广义凸函数。本文主要是研究几类广义凸函数的定义和性质。探讨拟凸函数、严格拟凸函数及强拟凸函数的定义、性质以及这三类函数之间相互转换的充分必要条件，也讨论拟凸函数的连续性和可微性。同时也对强伪凸函数性质进行研究，得到一些有意义的结论。
关键词:拟凸函数;严格拟凸函数;强拟凸函数;强伪凸函数
浙江海洋学院毕业论文
Abstract
Convex function is a kind of important function, its concept forms most early in Jensen [1905] in the writings. It has numerous applications in broad fields of pure Mathematics and applied Mathematics. Convex function is now plays important theoretical basic and useful tools to many subjects such as mathematical planning theory, response theory, numerical economics, change hours theory and sub-optimal control and so on. For theoretical breakthrough, reinforce their application in practice, produced generalized convex function. The article is to study definitions and theorems of generalized convex function. We also obtained some criteria for quasiconvex functions, strictly quasiconvex functions and strongly quasiconvex functions, and given some characteristics among the three functions. Then we discuss lower sem-icontinuities, upper sem-icontinuities and quasiconvex functions. The last of this brief presents a few characteristics of the strong pscudocovexity.
Keywords: quasiconvex functions; strictly quasiconvex functions; strong quasiconvex
functions; strong pscudocovexity
浙公网安备 33021202002483