摘要
给出若干个带有参数α的多元有理插值正算子,讨论了它们对于连续函数类逼近的点态估计。
In this peper the author introduces some multivariate rationalinterpolatory formulas with the parameter α, and proved that ω_f (Δ_n) is theirpoint wise estimates with respect to the continuous function f(x,y), where ω_f(·)is the continuous modulus of the function and Δ_n is defined as following Δ_n =(1-t^2)^(1/2)/n+1/n^2; t=min{|x|,|y|}.
关键词
连续模
有理插值算子
逼近
多元
modulus of continuity
rational interpolatory operators.