Direct and converse results for multivariate generalized Bernstein polynomials
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摘要
In this paper, the following generalization of multivariate Bernstein polynomials has been studied:Bn(f;x1,x2,…,xm)=∑k1,k2,…,km=0nfk1bn,k2bn,…,kmbn∏j=1mnkjxjkj(1-xj)n-kj,where (bn) is a sequence of positive numbers such that limn→∞n/bn=1 and direct and inverse theorems for this polynomials have been presented.
论文关键词：41A27,41A36,Modulus of continuity,Rate of converges,Direct theorem,Inverse theorem,Multivariate Bernstein polynomials
论文评审过程：Received 6 January 2004, Revised 20 January 2007, Available online 21 July 2007.
论文官网地址：https://doi.org/10.1016/j.cam.2007.06.035
