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The Newton product of polynomial projectors. Part 2: approximation properties

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Abstract

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.

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  1. Institut de Mathématiques de Toulouse, Université de Toulouse III and CNRS (UMR 5219), 31062, Toulouse Cedex 9, France

    François Bertrand & Jean-Paul Calvi

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  1. François Bertrand
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  2. Jean-Paul Calvi
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Correspondence to Jean-Paul Calvi.

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Bertrand, F., Calvi, JP. The Newton product of polynomial projectors. Part 2: approximation properties. Rend. Circ. Mat. Palermo, II. Ser 72, 1163–1196 (2023). https://doi.org/10.1007/s12215-022-00724-z

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  • DOI: https://doi.org/10.1007/s12215-022-00724-z

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