TY - JOUR
T1 - Bivariate Simplex Spline Quasi-Interpolants
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 97
EP - 118
PY - 2010
DA - 2010/03
SN - 3
DO - http://doi.org/10.4208/nmtma.2009.m9004
UR - https://global-sci.org/intro/article_detail/nmtma/5991.html
KW - Polar form, quasi-interpolation, simplex B-spline.
AB - <p style="text-align: justify;">In this paper we use the simplex B-spline representation of
polynomials or piecewise polynomials in terms of their polar forms
to construct several differential or discrete bivariate quasi
interpolants which have an optimal approximation order. This method
provides an efficient tool for describing many approximation schemes
involving values and (or) derivatives of a given function.</p>