单纯形上Durrmeyer多项式对连续函数收敛速度的估计
Estimate of Rate of Convergence of Durrmeyer Polynomials Defined on Simplex for Continuous Function
摘要
以Ｋ－泛函、光滑模为工具，利用函数分解等方法，研究单纯形上多元Ｄｕｒｒｍｅｙｅｒ多项式逼近连续函数的速度问题，估计了收敛速度，从而完善了Ｂｅｒｅｎｓ，Ｈ 等人的工作．
By means of the tools of K-functional, moduli of smoothness and the partition motheds of function, the rate of approximation of multivarviate Durrmeyer defined on the simplex for continuity function is estimated, and Berens ,H. et al's works is perfected.
基金
宁夏大学科学研究基金资助课题(002102)
参考文献6
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