@Article{NM-16-348, author = {L. Zha and R. Z. Feng}, title = {A Quasi-Interpolation Satisfying Quadratic Polynomial Reproduction with Radial Basis Functions}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2007}, volume = {16}, number = {4}, pages = {348--357}, abstract = { In this paper, a new quasi-interpolation with radial basis functions which satisfies quadratic polynomial reproduction is constructed on the infinite set of equally spaced data. A new basis function is constructed by making convolution integral with a constructed spline and a given radial basis function. In particular, for twicely differentiable function the proposed method provides better approximation and also takes care of derivatives approximation.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10064.html} }