We prove that the Newton product of efficient polynomial projectors is still efficient. Various polynomial approximation theorems are established involving Newton product projectors on spaces of holomorphic functions on a neighborhood of a regular compact set, on spaces of entire functions of given growth and on spaces of differentiable functions. Efficient explicit new projectors are presented.
翻译:我们证明,高效多元投影机的牛顿产品依然有效。 建立了各种多球近似理论,让牛顿产品投影机参与其中,在固定的一套常规契约的附近,在固定的一套契约的周围,在特定增长的整个功能空间和不同功能的空间,在全新投影机中,在全息功能空间上,牛顿产品投影机参与其中。 提出了高效的清晰的新投影机。