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11.
设0∈G,G是有界单连通区域,Γ=δG∈C(2,α),0<α<1.w=φ(z),φ(0)=0,φ’(0)>0是将G保角映射到│w│<1内的一个映射函数。本文利用w=φ(z)的极值性质得到了给定极点的有理函数序列对它的一致逼近阶的估计。 相似文献
12.
Recently Brutman and Passow considered Newman-type rational interpolation to |x| induced by arbitrary sets of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods,one could establish the exact order of approximation for some special nodes.In the present note we consider the sets of interpolation nodes obtained by adjusting the Chebyshev roots of the second kind on the interval [0,1] and then extending this set to [-1,1] in a symmetric way.We show that in this case the exact order of approximation is O( 1 n 2 ). 相似文献
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本文证得(?)|Pn(f,x)|=+∞,因此Pn(f,x)不能对一切f(x)C[-1,1]在[-1,1]上一致收敛于f(x) 相似文献
14.
给定极点的曲线上加权正交有理函数 总被引:1,自引:0,他引:1
本文建立了给定极点的广义 Faber-D■rba■jan 有理函数的渐近等式,并由此建立一般曲线上加权正交有理函数的渐近等式.当所有极点都等于无穷远点时,它们就是 P.K.Suetin 关于多项式的结果. 相似文献
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