J. Prestin, H. N. Mhaskar
Bounded Quasi-Interpolatory Polynomial Operators
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

41A05 Interpolation, See also {42A15 and 65D05}

41A10 Approximation by polynomials, {For approximation by trigonometric polynomials, See 42A10}

Abstract: We construct bounded polynomial operators, similar to the classical de
la Vallee Poussin operators in Fourier series, which preserve polynomial
of a certain degree, but are defined in terms of the values of the
function rather than its Fourier coefficients.
Keywords: orthogonal polynomials, weighted approximation, de la Vallee Poussin means