复域中高阶Fejér插值的一致收敛性

摘要

For a Jordan domain D in the complex plane satisfying certain boundary conditions a function f∈B(D),we prove that the corresponding higher order Fejér interpolation polynomials based on fejér points converge to f(z) uniformly on D.These extend some known results.%对于复域中满足某种条件的Jordan区域D和函数f∈B(D),证明了基于Fejer点的高阶Fejer插值多项式一致收敛于对应的函数f(z)于D上.本文中的这些定理推广了某些已知的结果.