The Newton Product of Polynomial Projectors. Part 2 : approximation properties

03/23/2021

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by   François Bertrand, et al.

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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.