摘要
本文给出m元Kantorovitch多项式和m元拟Kantorovitch多项式,并讨论了它们的连续模估计式和在Euclid距离下的连续模估计式。
In this paper degrees of approximation by m-dimensional Kantorovitch polynomials and mdimensional quasi-Kantorovitch polynomials are discussed. Main results are as follows:If a function of m-variables f(X)=f(x_1,…,x_m) is continuous in I_m, I_m: 0≤x_i≤1, i=1,…,m, then inequalities hold, where sign (?)_N(m)(f;X) can be written as follows :
出处
《吉林大学自然科学学报》
CSCD
1989年第4期20-26,共7页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
多项式逼近
连续模估计
逼近阶
m-dimensinal Kantorovitch polynomial, m-dimensinal quasi-Kantorovitch polynomial, degree of approximation, continuos norm.
