一些函数族的一般极值问题  

GENERAL EXTREMAL PROBLEMS FOR SOME FAMILIES OF FUNCTIONS

作　　者：梁金荣[1] 高书宪[1] 

机构地区：[1]河南师范大学

出　　处：《纯粹数学与应用数学》1994年第2期101-109,共9页Pure and Applied Mathematics

摘　　要：本文主要讨论了带限制条件的正实部解析函数族及纯凸像函数族的一般极值问题．首先我们得了两类带限制条件的正实部函数族的支撑点的表达式．其次，我们讨论了亚纯凸像函数族的极值问题，得到了亚纯凸像函数族上Ｆｒｃｈｅｔ可导泛函所对应的极函数的最好形式．In this paper, we mainly discuss the general extremal problems of the families of posihve real part funchons with a constraint and convex meromorphic univalent funchons. We first obtain the representahon formulas or support points for two class of positive real part functions with a constraint. Then, we investigate extremal problems of the class of convex meromorphic functions and obtain the best representative forms of extremal functions for the class of convex meromorphic funchons corresponding to a Frechet differentiable functional.

关 键 词：亚纯凸像函数 支撑点 亚纯函数 极值问题 

分 类 号：O174.52[理学—数学]