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We construct bounded polynomial operators similar to the classical de la Vallée Poussin operators in Fourier series which preserve polynomials of a certain degree but are defined in terms of the values of the function rather than its Fourier coeffcients.
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This page is a summary of: Bounded Quasi-Interpolatory Polynomial Operators, Journal of Approximation Theory, January 1999, Elsevier,
DOI: 10.1006/jath.1998.3220.
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