摘要
把对一元函数微分中值定理“中间点”的渐近性的讨论推广到多元函数的拉格朗日中值定理及柯西中值定理中去,得到了更为普遍的结果。
In this paper, the asymptotic behavior of intermediate points is discussed for the differential mean value theorem of functions of several variables, which brings about more general results such as: 1)when then .2)As the moving point X0+h tends to X0 along a certain direction,there are intermediate pointsξ not belonging to the joining line between x0 and x0+h, theξ.
出处
《北京工业大学学报》
CAS
CSCD
1996年第2期76-85,共10页
Journal of Beijing University of Technology
关键词
中间点
多元函数
微分中值定理
渐近性
存在性
derivative of Fre'chet,intermediate point, along a certain direction