一类新的多维函数新式的单调类定理  

SOME NEW MONOTONE CLASS THEOREMS FOR MULTI-DIMENSIONAL FUNCTION FORM

作　　者：康元宝[1] 冯德成[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《数学杂志》2012年第6期1063-1068,共6页Journal of Mathematics

摘　　要：本文研究了多维函数形式的单调类定理问题.利用类比的方法,定义了多维函数形式的λ族,单调族,获得了相应的多维函数形式的单调类定理,推广了λ族,单调族的一维函数形式的单调类定理,并将其用于可选过程,从而建立了对应的单调类定理.In this paper,monotone class theorems for multi-dimensional function form are studied.Using the analogy method,the notion of and Monotone-family for multi-dimensional function form are defined,and some monotone class theorems for multi-dimensional function form relating to and Monotone-family are established.Some monotone class theorems for onedimensional function are generalized to multidimensional case,moreover monotone class theorems of optional process are also given.

关 键 词：函数形式的单调类定理 λ族 单调族 可选过程 

分 类 号：O174.12[理学—数学]