摘要
利用多元函数的Taylor公式,对定义在n维椭球体上的m+1阶偏导数具有上界和下界的n元函数f(x)建立了含参数的加权重积分不等式.该不等式也是文[1-2]的一种推广,并给出了应用.
By using the Taylor＇ s formula of muhivariate functions, the weight multiple integral inequality with param- eterwere established for the n element function f（x） with upper and lower bounds on the m ＋ 1 order partial derivatives defined on n dimensional ellipsoid ball.This inequality is also a generalization of [1-2] and its applications is given.
出处
《内蒙古民族大学学报（自然科学版）》
2017年第4期280-285,共6页
Journal of Inner Mongolia Minzu University：Natural Sciences
基金
国家自然科学基金资助项目(11361038
11561052)
关键词
n维椭球体
n重积分
加权重积分不等式
N-dimensional ellipsoid ball
N-multiple integral
Weight multiple integral inequality
