Polynomial and spline quasi-interpolants (QIs) are practical and effective approximation operators. Among their remarkable properties, let us cite for example: good shape properties, easy computation and evaluation (no linear system to solve), uniform boundedness independently of the degree (polynomials) or of the partition (splines), good approximation order. We shall emphasize new results on various types of univariate and multivariate polynomial or spline QIs, depending on the nature of coefficient functionals, which can be differential, discrete or integral We shall also present some applications of QIs to numerical methods.
CITATION STYLE
Sablonnière, P. (2005). Recent Progress on Univariate and Multivariate Polynomial and Spline Quasi-interpolants. In Trends and Applications in Constructive Approximation (pp. 229–245). Birkhäuser Basel. https://doi.org/10.1007/3-7643-7356-3_17
Mendeley helps you to discover research relevant for your work.